{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import scipy as sp\n",
    "import scipy.linalg\n",
    "import sympy as sy\n",
    "sy.init_printing() \n",
    "# import warnings\n",
    "# warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import linAlgVis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <font face=\"gotham\" color=\"purple\"> Basis </font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Basis**, denoted as $B$, is the minimum unit of user-customization of coordinates, which is any type of coordinate system other than Cartesian."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <font face=\"gotham\" color=\"purple\"> Basis of $\\mathbb{R}^2$ </font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Formally speaking, the basis is a set of vectors $B$ in vector space $V$ with two conditions:\n",
    "1. All vectors in $B$ are independent. \n",
    "2. $\\text{span}(B)=V$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have seen _standard basis_ in earlier chapters, for instance in $\\mathbb{R}^2$\n",
    "\n",
    "$$e_1=\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "1\\\\0\n",
    "\\end{matrix}\n",
    "\\right],\n",
    "\\ e_2=\\left[\n",
    "\\begin{matrix}\n",
    "0\\\\1\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "$$\n",
    "\n",
    "and in $\\mathbb{R}^3$\n",
    "\n",
    "$$e_1=\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "1\\\\0\\\\0\n",
    "\\end{matrix}\n",
    "\\right],\n",
    "\\ e_2=\\left[\n",
    "\\begin{matrix}\n",
    "0\\\\1\\\\0\n",
    "\\end{matrix}\n",
    "\\right],\n",
    "\\ e_3=\\left[\n",
    "\\begin{matrix}\n",
    "0\\\\0\\\\1\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we show the linear combination of standard basis for vector $(3, 6)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize = (10, 10))\n",
    "\n",
    "arrows = np.array([[[0,0,1,0]],\n",
    "                  [[0,0,0,1]],\n",
    "                  [[0,0,3,0]],\n",
    "                  [[0,0,0,6]],\n",
    "                  [[0,0,3,6]]])\n",
    "\n",
    "colors = ['r','b','r','b','g']\n",
    "for i in range(arrows.shape[0]):\n",
    "    X,Y,U,V = zip(*arrows[i,:,:])\n",
    "    ax.arrow(X[0], Y[0], U[0], V[0], color = colors[i], width = .03, \n",
    "             length_includes_head = True,\n",
    "             head_width = .2, # default: 3*width\n",
    "             head_length = .3,\n",
    "             overhang = .4)\n",
    "\n",
    "############################Dashed##################################\n",
    "line1 = np.array([[3, 0], [3, 6]])\n",
    "ax.plot(line1[:,0], line1[:,1], ls = '--', lw = 3, color = 'black', alpha = .5)\n",
    "\n",
    "line2 = np.array([[0, 6], [3, 6]])\n",
    "ax.plot(line2[:,0], line2[:,1], ls = '--', lw = 3, color = 'black', alpha = .5)\n",
    "\n",
    "############################Text#####################################\n",
    "\n",
    "ax.text(0, 1, '$e_2$', size = 15)\n",
    "ax.text(1, 0, '$e_1$', size = 15)\n",
    "\n",
    "ax.text(0, 6, '$6e_2$', size = 15)\n",
    "ax.text(3, 0, '$3e_1$', size = 15)\n",
    "\n",
    "ax.text(3, 6, '$3e_1+6e_2$', size = 15)\n",
    "\n",
    "###########################Grid Setting##############################\n",
    "# Major ticks every 20, minor ticks every 5\n",
    "major_ticks = np.arange(0, 10, 2)\n",
    "minor_ticks = np.arange(0, 10, .5)\n",
    "\n",
    "ax.set_xticks(major_ticks)\n",
    "ax.set_xticks(minor_ticks, minor=True)\n",
    "\n",
    "ax.set_yticks(major_ticks)\n",
    "ax.set_yticks(minor_ticks, minor=True)\n",
    "\n",
    "ax.grid(which='both')\n",
    "ax.grid(which='minor', alpha=0.2)\n",
    "ax.grid(which='major', alpha=0.5)\n",
    "\n",
    "#######################################################################\n",
    "ax.set_xlabel('x-axis', size = 18)\n",
    "ax.set_ylabel('y-axis', size = 18)\n",
    "ax.axis([-1, 10, -1, 10])\n",
    "ax.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But non-standard basis is what we mostly use, we can show that $(2, 1)$ and $(-1, 2)$ is a basis for $\\mathbb{R}^2$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize = (10, 10))\n",
    "\n",
    "v1 = np.array([2, 1])\n",
    "v2 = np.array([-1, 2])\n",
    "v1m2 = 2*v1\n",
    "v2m3 = 3*v2\n",
    "\n",
    "arrows = np.array([[[0, 0, v1[0], v1[1]]],\n",
    "               [[0, 0, v2[0], v2[1]]],\n",
    "               [[0, 0, 2*v1[0], 2*v1[1]]],\n",
    "               [[0, 0, 3*v2[0], 3*v2[1]]],\n",
    "               [[0, 0, (v1m2+v2m3)[0],(v1m2+v2m3)[1]]]])\n",
    "\n",
    "colors = ['r','b','r','b','g']\n",
    "for i in range(arrows.shape[0]):\n",
    "    X,Y,U,V = zip(*arrows[i,:,:])\n",
    "    ax.arrow(X[0], Y[0], U[0], V[0], color = colors[i], width = .03, \n",
    "             length_includes_head = True,\n",
    "             head_width = .2, # default: 3*width\n",
    "             head_length = .3,\n",
    "             overhang = .4)\n",
    "\n",
    "# ############################ Dashed ##################################\n",
    "\n",
    "point1 = [v2m3[0], v2m3[1]]\n",
    "point2 = [v2m3[0]+v1m2[0], v2m3[1]+v1m2[1]]\n",
    "line = np.array([point1, point2])\n",
    "ax.plot(line[:,0], line[:,1], ls = '--', lw = 3, color = 'black', alpha = .5)\n",
    "\n",
    "point1 = [v1m2[0], v1m2[1]]\n",
    "point2 = [v2m3[0]+v1m2[0], v2m3[1]+v1m2[1]]\n",
    "line = np.array([point1, point2])\n",
    "ax.plot(line[:,0], line[:,1], ls = '--', lw = 3, color = 'black', alpha = .5)\n",
    "\n",
    "############################Text#####################################\n",
    "\n",
    "ax.text(2, 1, '$v_1$', size = 15)\n",
    "ax.text(-1, 2, '$v_2$', size = 15)\n",
    "\n",
    "ax.text(v1m2[0],v1m2[1], '$2v_1$', size = 15)\n",
    "ax.text(v2m3[0],v2m3[1], '$3v_2$', size = 15)\n",
    "\n",
    "ax.text(v1m2[0]+v2m3[0],v1m2[1]+v2m3[1], '$2v_1+3v_2$', size = 15)\n",
    "############################## Grid ###############################\n",
    "\n",
    "t = np.linspace(-6, 6)\n",
    "for k in range(-6, 7):\n",
    "    x = 2*k - t\n",
    "    y = k + 2*t\n",
    "    ax.plot(x, y, ls = '--', color = 'red', alpha = .3)\n",
    "\n",
    "for k in range(-6, 7):\n",
    "    x = -k+2*t\n",
    "    y = 2*k+t\n",
    "    ax.plot(x, y, ls = '--', color = 'red', alpha = .3)\n",
    "\n",
    "#######################################################################\n",
    "ax.set_xlabel('x-axis', size = 18)\n",
    "ax.set_ylabel('y-axis', size = 18)\n",
    "ax.axis([-6,6, 0, 10]) # np.linalg.norm(v1m2+v2m3) is intercept\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Whether basis is standard or not, as long as they are independent, they span $\\mathbb{R}^2$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <font face=\"gotham\" color=\"purple\"> Basis of $\\mathbb{R}^3$</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we show the standard basis and a non-standard basis of $\\mathbb{R}^3$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The standard basis in $\\mathbb{R}^3$ is \n",
    "\n",
    "$$\n",
    "(e_1, e_2, e_3)=\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "1 & 0 & 0\\\\\n",
    "0 & 1 & 0\\\\\n",
    "0 & 0 & 1\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "$$\n",
    "\n",
    "and we can show a vector $(2,3,4)$ in $\\mathbb{R}^3$ is a linear combination of them. We did a 3D linear combination plot in lecture 6, here we just reproduce it by importing the module at the top of the note."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "linAlgVis.linearCombo(2,3,4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we show the linear combination of a non-standard basis, $(2,1,0), (0,3,1), (0,0,3)$. I also wrote another function ```linearComboNonStd``` in the ```linAlgVis``` module."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "a, b, c = 2, 3, 4\n",
    "vec1 = np.array([2,1,0])\n",
    "vec2 = np.array([0,3,1])\n",
    "vec3 = np.array([1,2,3])\n",
    "linAlgVis.linearComboNonStd(2,3,4, vec1, vec2, vec3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <font face=\"gotham\" color=\"purple\"> Dimension</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If $B$ is the basis for $V$, then the **number of vectors** in $B$ is the **dimension** of $V$, denoted as $\\text{dim}(V)$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size = 3 face=\"gotham\"> Theorem 1</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let $B$ be the basis of $V$, $B$ has $n$ vectors, and $T$ is a set of vectors in $V$, if $T$ has $p$ vectors that $p>n$, then $T$ must be linearly dependent."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size = 3 face=\"gotham\"> Theorem 2</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If $B$ and $T$ both are bases of $V$ then $B$ and $T$ must have the same number of vectors which is the $\\text{dim}(V)$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size = 3 face=\"gotham\"> Theorem 3</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\\text{dim}(V) = n$ and $S$ is a set of vectors from $V$ with $n$ linearly independent vectors, then $\\text{span}(S)=V$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size = 3 face=\"gotham\" > Theorem 4</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let $v_1, v_2, ...,v_n$ be a set of vectors in the vector space $V$ and let $W = \\text{span}\\{v_1,v_2,...,v_n\\}$. If $v_n$ is a linear combination of $v_1, v_2,...v_{n-1}$, then $W = \\text{span}\\{v_1,v_2,...,v_{n-1}\\}$ "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These theorems are self-explanatory, no need to memorize, the best way to understand them is visualize them in your mind with $\\mathbb{R}^3$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <font face=\"gotham\" color=\"purple\"> Column Space</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Columns space of a matrix is denoted as $\\text{Col}A$, which is the space spanned by all columns of a matrix."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " <font size = 4 face=\"gotham\" color=\"purple\">Important Fact </font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Row operations will not change the dependence of the columns of a matrix."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's say we have a matrix $A$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & -2 & -1 & 3 & 0\\\\-2 & 4 & 5 & -5 & 3\\\\3 & -6 & -6 & 8 & 2\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1   -2  -1  3   0⎤\n",
       "⎢                 ⎥\n",
       "⎢-2  4   5   -5  3⎥\n",
       "⎢                 ⎥\n",
       "⎣3   -6  -6  8   2⎦"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = sy.Matrix([[1, -2, -1, 3, 0], [-2, 4, 5, -5, 3], [3, -6, -6, 8, 2]]);A"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Perform ```rref``` operations, and dependence of $\\text{Col}A$ reserved."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left( \\left[\\begin{matrix}1 & -2 & 0 & \\frac{10}{3} & 0\\\\0 & 0 & 1 & \\frac{1}{3} & 0\\\\0 & 0 & 0 & 0 & 1\\end{matrix}\\right], \\  \\left( 0, \\  2, \\  4\\right)\\right)$"
      ],
      "text/plain": [
       "⎛⎡1  -2  0  10/3  0⎤           ⎞\n",
       "⎜⎢                 ⎥           ⎟\n",
       "⎜⎢0  0   1  1/3   0⎥, (0, 2, 4)⎟\n",
       "⎜⎢                 ⎥           ⎟\n",
       "⎝⎣0  0   0   0    1⎦           ⎠"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A.rref()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The $2nd$ and the $4th$ column are the linear combination of other vectors, it is safe remove them without tampering the column space. Therefore the $\\text{Col}A$ is "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & -1 & 0\\\\-2 & 5 & 3\\\\3 & -6 & 2\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1   -1  0⎤\n",
       "⎢         ⎥\n",
       "⎢-2  5   3⎥\n",
       "⎢         ⎥\n",
       "⎣3   -6  2⎦"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ColA = sy.Matrix([[1, -1,  0], [-2,  5,  3], [3, -6, 2]]); ColA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <font face=\"gotham\" color=\"purple\"> Column Spaces Aren't the Same</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Did you notice there was a catch when we say the dependency of $\\text{Col}A$ was not affect by row operations, however we did not say the column spaces are the same as before and after the row operations.\n",
    "\n",
    "Actually, they can never be the same. \n",
    "\n",
    "Consider the matrix $A$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}3 & -1 & -1\\\\2 & 4 & 4\\\\-1 & 1 & 1\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡3   -1  -1⎤\n",
       "⎢          ⎥\n",
       "⎢2   4   4 ⎥\n",
       "⎢          ⎥\n",
       "⎣-1  1   1 ⎦"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = sy.Matrix([[3, -1, -1],[2, 4, 4], [-1, 1, 1]]); A"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we perform ```rref```, $A$ is turned into $B$. Apparently the column space of them are different apparently."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left( \\left[\\begin{matrix}1 & 0 & 0\\\\0 & 1 & 1\\\\0 & 0 & 0\\end{matrix}\\right], \\  \\left( 0, \\  1\\right)\\right)$"
      ],
      "text/plain": [
       "⎛⎡1  0  0⎤        ⎞\n",
       "⎜⎢       ⎥        ⎟\n",
       "⎜⎢0  1  1⎥, (0, 1)⎟\n",
       "⎜⎢       ⎥        ⎟\n",
       "⎝⎣0  0  0⎦        ⎠"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "B = A.rref(); B"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now list the basis of their column spaces: are $\\text{Col}A$ and $\\text{Col}B$ the same?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\text{col}(A)=\\text{span}\\left\\{\\left[ \\matrix{3\\cr 2\\cr -1}\\right],\\ \\left[\\matrix{-1\\cr 4\\cr 1}\\right]\\right\\}\n",
    "$$\n",
    "$$\n",
    "\\text{col}(B)=\\text{span}\\left\\{\\left[ \\matrix{1\\cr 0\\cr 0}\\right],\\ \\left[\\matrix{0\\cr 1\\cr 0}\\right]\\right\\}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's easy to visualize them, they are two intersecting planes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YmEh8fPxOj78vCAXRIBCEIqEw2fa3eLJarWRmZpKZmYmqqkZ7gdLSUsxmsxGFiY6O3upY/EWM71niM7aDzVGY/vqQKOhf9ijRsq0S4JaWFiIiIrYwSPJX8/2d3CpJ0haiaGeiJBEREURGRpKYmLjLUZI9XTTs6e9/TyNcznWojHMgIz6yLJOYmEhiYiKgL1fX19dTVFREV1cXXq+X5ubmXp/bPrYVhfF4PCIKE4YMKtHiL0Z2tgR4w4YN5OXlGZnoA0HPKEljYyNut9v4vrNRkr4g2JN2sPcfbMRDc+ARx3znCNbxioiIYMiQIQwZMgRVVVm4cCEtLS1UVFRgs9mMLtVRUVFb3cb2ojA+ASOSeUOXsBUtGzZsoKioiFGjRvVJCbDPl6QvL9SdjZJYrVZsNhs5OTmDvsfN1gi2aAn2/iF0PlULtsRXdut/XzudTiRJMpoK9kffrFDJaQmVa1OWZSwWCwUFBURERNDV1UV9fT2rV6/G7XYHtBfYGWM7nyO47+ciChN6hK1oKS4u5sMPP+Twww8Hdr8EuLelmW3R17kkALW1tTidzm2aL/U3oTBpC4KDeChvFiUOh2MLYeJyuYz7OjIy0ri3U1JSMJlMNDQ0sH79eqKiokhLSyM1NXWbJbzhSKiIp55ERUWRk5NDTk4OiqLQ1NREbW0ta9euJSoqyojCREREbHUbPUuqQURhQpGwFS0WiwWv19tnzq2yLAdM1gOdSwKhIRiCPQax/+DuP9jXX3/jy2fwlfd3dnZSXl6Ooii4XC5Af7b439dxcXHGh42t3dcWi4WUlBQ0TaOzs5O6ujqWLl0KYAiYmJiY3Rp7qEyUoTKOrQkok8lk9EDynY/6+npWrFiB1+sNaC+wM8Z2IgoTGoS1aPGVtO0svUVJWltb6ejoMPJhthYl2VbS1+4S7AkrVMYQ7P0LwhdN0wLubf+IidvtBvQKFd+9LMsyycnJJCUl9cmSrCRJxMTEEBMTQ15eHi6Xi/r6etavX4/T6SQpKYm0tLRt9uPZ2vsKBUJlHLBjUR//8zFs2DC8Xi8NDQ1s3LiRVatWERsba0RhdsbYDjZHYXypByIKMzCEtWjxNxPyp7c1Z1+kZGtRkqioKNLT00lJSQnaRRcKgiHYYwj2DR/s9y/YNpqmbdG3yidOfNUg/qLEFwGNjIzsNcm+s7OT2NjYfluStdlsZGdnk52djaIoNDY2smnTJlavXk1cXBxpaWmkpKTsUFJ9sO8NCK3loV0Zi9lsDjC2a29vp76+nqVLl6JpmiFg4uLidjoKU1NTA4DdbjdEjIjC9D0DKloUReGwww4jKyuLzz//fJe24fV62bRpEytXrqShoYEHHniAqqoqrrvuOiIiIraIkkRERBjLNtuKkrS1tRkXWbAIhQkz2GMI9v6DzZ7+/lVV7VWUOJ3OAFHiyymJiooyjBB3tfJvoO55k8kU0I+nra2Nuro6ysrKsFgsxu96y7sIpWsiVCbh3RVQkiQRFxdHXFwc+fn5hrFdeXk57e3txMfHG8Z2Fotlm9uRJMlYXvTlRYkoTP8woKLlhRdeYJ999qGtrW2n/q6xsZFzzz2Xrq4uTCYTWVlZxMTE0NnZSV5eHieccAIHH3wwMTExu3xR9MxpCQahMGEFewx7+v4HO/6ixH/ppquri4ULF24RBY2JiTESKM1m86B56EvSZifY4cOHG9UvvryL1NRU0tLSAqzsQ+G9h9K90ddRH39jO03TDGO7srKygDyZ6OjoXvfr6xvXcynJPxfG1xtJRGF2nQETLVVVVXzxxRfcd999/Pe//92pv01MTGTu3LlER0cbPyspKeFf//oX1157bZ+MLxQmq1AYg0CwO/gaf/ZcuvFfmvWPgvpyCjo6OjjiiCOCPfxdZncnUP/qF4/HQ0NDA2VlZXR0dJCYmIjD4dip6sb+JFQm2v5cqpIkiYSEBBISEhg+fDhOp5OGhgbD2M6/vYAvet/beHoKmJ5RGNHkcecZMNHyr3/9i6effpr29vad/ltZlgMEC+xeIm5vhIJgEGMQ+w/28uT2UBSl16UbnyiRZTlAlPjyNnyRkt3Z956Cr2lqRkYGqqrS3NzMmjVrWLFiBbGxsYO2nHpnGcj8moiICCM3yXdOGhoaKC4uxmq1kpqaisvl2m4yr/93n4DxIaIwO8aAiJbPP/+ctLQ0Dj30UH744Yc+2ea2EnF3hWBPVmIMobH/UCCY79/r9dLZ2bnF8o3T6URV1QBREhkZOSBVdf1JqF9rvuqm+Ph4hg4diizL1NXVsWTJEmRZNpaRen6oE/QfvnOSnJwMQFdXFw0NDdTV1VFTU0Nra6thNLitCjERhdk1BkS0/Prrr3z66ad8+eWXOJ1O2trauOKKK3jzzTd3eZt9HWmRZTno4ddQmLBDYQzBZLC//56VdT5h4nK5cDgcNDc3ExMTE5DEHhkZic1mC0tRsiOEy4QgyzKxsbHExsaSn5+Py+Wirq6OtWvX4nK5SE5ONsqpw+U97S6h8D6joqIYOnQoHo+HqKgozGYzdXV1rFu3jsjISCMXZnvGdv7fRRRm6wyIaHniiSd44oknAPjhhx949tlnd0uwgJ40JZaH+mcMwRRvoXAMwhmfcVpvX75EQX831+TkZOPfxcXFxqQnCC16uydsNpvRi8dXTu3zH4mPjyctLY3k5OR+6VEm2BJVVbcwtvNPsPZ4PIawjI+PF1GYXSRsr2axPDQ4xyD2v/X9+/e96bl0428x71u68VnM+wwS+8o9WhB69Cynbm1tpa6ujpKSEmw2m5EHs61P+0Ghrg5qauDAA4M9kt2mZ46NJElER0cTHR1Nbm4uXq83QFjGxMQYvjDb8gnakSiMf0n1YBcxAy5ajjvuOI477rjd3o5IxBUMNnxdyjs6Oujq6goQJ75+Vv4W875EV1/rCCFKgsdATBQ7ug//ypcRI0bQ1dVFXV0df/75J6qqGnkwu2MRsdt4PMivvor8zTcot93GYHjqbS8x2Gw2Y7fbsdvtaJpGR0cH9fX1LFu2DE3TSElJITU1dZvGdtB7FMY3F+4JUZiwjbT0ta9KsJdFfGMItmgJ9hgG8/57Wsz755X4LOZ94iQ2NtYQJZGRkQPW9TvY15+gd3bnvERFRZGbm0tubi4ej4f6+npKSkro7OwkMTGRtLS07SaN9iXy118jzZuHesEFaNXVaH3wITYU2JlqJkmSjPykvLw8o8x9w4YNtLW1ERcXZ0Rhtmds5/99T4jChK1o6euDL0RLaIwhnG8qnyjprUOwT5T4G6dFREQY1Tc+UbJmzRqys7OJjY0d8PGH87HfVYJ9v+0ofVXea7FYDAM1VVVpamoykkajo6ONZaRtTZS7irRmDfJrr6GdeCLKM89gevhhlNtu6/P9BIvdOUf+Ze7+xnYbNmxAkiQjT2Z70bHeojC//fYbhx9++KCJwoStaOlrQsERNxTGEGzREmy2l1PSm5trT4t5/35Wu2sxL+h/9tTzIssyKSkpRnfq9vZ26urqWLx4sZFQmpaWRlRU1O7tqLER08svo9ntKI89BhYL0p9/omVlQXfZ8GCgr4RlT2M7l8tFQ0MDJSUldHR0kJCQYETHdsT7yOefNFiiMEK0dBMKk7UYQ3Dxubl6PB6qq6sDhIkva98/UhIdHT0oLeYFoUl/Xl+StLkPT0FBAU6nk7q6OtasWYPL5SIlJcVI8t1hPB7kF15A6upCueWWzQJF05BnzkR55pn+eTNBor/M7mw2G1lZWWRlZaGqKi0tLdTX11NcXIzFYgloL7AtBksuTNiLlr5Ut8GerMUY+pfeLOZ9UROfxbzVasXtduP1eg2LeV+kZCAYzMdfsOsM9DURERHB0KFDGTp0qFH1UllZSWdnJytXrjTKqbfm3SN//TXyu++i5uejjB8f+Lv33kO98EIYZL4/A+HQK8sySUlJJCUlAeBwOGhoaGDdunU4HA6SkpJISUkhKSlpm75K/rkwvmsrXKIwYStaRE7L4B3DrqIoimGStjWLeZvNZpQD92Yx7/F4WLlyJUOGDAnyuxEIAgnWxOFf9dLW1kZWVhZ1dXUUFxcTERFh5MHYbDY9b2XGDLQTTkBLSkK9997AjbW3I61ciXrppUF5L/2JpmkDXsEXGRlpePX4cpTq6+spKirCZrORmpq63Xmtt2Te3qIwoWJsF7aipa8R+SShT8++N/7ipKfFvH+S685YzItzsGcRLuc6VMYpSRKJiYkkJiYC0NnZSV1dHat++onM2bOxDh2K5T//Ie7rr9EuumiLaIrppZf0paJByED2QuoN/xwl0M9NfX09DoeD3377jeTkZFJTU0lISNiusZ3vu38UxheJ8UVhfM/UgX7PYS1a+rrkOdgPhj19DD7jNK/XS1VV1RZ9b0wmU4AoSUxMDOu+N70R7E8xwb7+gkGwj/mOEorjjLZayf/mG6TaWhwPP0y9qlK1ejWp335Ly913k9bYSGJiInJ7O6YJEyA6GjIygj3sfkFV1ZA6Rz5ju02bNnHEEUfQ1NREdXU1q1evJjo62siF2VljO18Uxld8MNBRmLAWLX3Jni4YBmIMXq+316Ubf4v5iIgIYynHV3kTERExYGHXUDgHwdp/KD1wBYEE+5rsDfm995AKC1Gvuw51n32wAlnA0Jkz8Tz2GGaLhdpNm2h77jniGhuJcbmQH3mEgckOG3iCHWnpDd91YzabAxyTOzo6aGhoYPny5SiKYhjbxcfHb7ek2ve9tyiMT8D0ZzJvWIsW34EbLIm4EPyH064eB3+L+Z5LNz0t5n1fW7OYX7RoEZmZmX35tgQCQR8hrVmDPHUqUnU13nffBX/r+tWr0ZKSkDMzSfv+e9K/+ALlyitxrFlDo8fDhuXLAybQyMjIIL6TviVURUvPMfkb2w0bNgyPx2MkWq9cuZK4uDhjmclqtW51271FYVRVNYoabDZbvxyPsBYtZrMZr9e7zQO7o4RKl+dgszXR4gsJbs3NtTeL+djYWMPNNVws5oMtXkPhGhCEJkG/NhobyZ05E+nQQ8Fux/t//xcgWNA05FdfRf373zHdcw/a6NEozz4LDgcx775L5JNPkole8VJfX8+qVavweDxGOfX27OtDnXARLT2xWCykp6eTnp6Opmm0tbVRX1/PkiVLkCTJiMLExsbucBSmP+fSsBYtvv5DfSFagj1ZBRufKOns7KSrq4sNGzYEuLn6RIl/h2Bf35v+UtR7KnvydRgMwuHaDeqE6PEgz5iBVFND1ZgxZI4Ygenzz6FHhZ08axa0tSF//z3KhAnQnSthmjwZ5eabjddFRkYGlFP729f7txXYVp5aKN4j4Spa/JEkifj4eOLj4ykoKMDtdtPQ0EBZWRnt7e0kJCSQmpoa1O7hg0K09AWDXbT4973pmVfis5i3Wq2YTCa8Xm+vFvN7AoP9OhAEEi7nOljjlOfORfruO9Rrr0Xdd1+8v/6KacoUlEcf3fwirxf5lVcwvfcentmzIS1t8+9KS0GWISen1+2bzWbjU77POK2uro7169cTFRVluPL2xQfT/iYURYuvqnJXsVqtAW0ffO0FSktLMZvNRhQmOjp6wN57WIsWs9ksREs3/hbzPYVJT4v5iIiIrVrMt7e3U1VVhd1uD/I72jMJ9+tQMDiQFixAfucdtFNPRXn6aWMZKPm331BPPtmIokjffos8dy6oKp633goULIBp6lSUhx/eoX36G6dpmmaUUy9duhQgoDt1KAqEwT4mWZYDyt2dTicNDQ0UFRXR1dVFYmIiqampJCUl9etxCGvRsidFWlRVDRAl/uJkaxbzycnJREZG7pTFfKgfh/4m1B46A82efO5DnQG5NpuaML30EtIff+B94w3o9vwA0Lq6SFy+HO2uu5DWrUOePh3t2GNRb7oJ+euvITs7cLzffIN2zDEQEbHTw5AkiZiYGGJiYsjLy8PlchmmaQ6Hg8TERBRF2e1IQl8y2EVLTyIiIsjOziY7OxtVVWlubjbOUXZ2NgUFBf2y37AWLVartc9ES7ATcX0W816vl02bNgUIE39R4sspiYmJMapv+tJifk8XLXsyofbADTX8zQ19kUzfd5PJRFpaGna7fbs9YHaFfr8nPR7k115Dqq5GPfxwpOHDAwQL6LkpNaeeSsYjj6AlJxvND0333IPyyCOB29uwAfnTT1FefLFPhmez2YwJUlEU6uvrqa6u5rfffjOcrVNSUoKWZwHBccTdHgMl6mRZJjk5meTkZDRNMyqI+oOwFi3hFGnx73vTM6fE32Le6/WiKEqvFvMDgRAtwY02iOMfPHxLrA6HYwtR4rtHfR28IyIiAnyEJEmivr6etWvX4nK5SE1NxW63b7fiYmfor0lA+uYb5G++0f1WRozAdPfdKM89F/ii9euRFywgNT4e5fHHITUVAPmLLwKWi3A4ME2divTDDygPPRRYXdRHmEwmkpOTiYmJ4fDDD6etrY26ujrKysqwWCxGOXXELkR4doc9LdKyLfrT7FOIlm52d7LoaTHv/8DrzWI+Pj6e9PR0bDZbgChZtGhRUPveiElTMFjxL9v3CZOOjg5WrVq1xRJrZGQksbGxO/zBwWKxGJEAr9drJCt2dnaSnJyM3W4nISFhlyeQ/rgnjSWe44/XOy5LEvIrr6Bee22g98o332AePx7Xiy+yQVHI6BYsOJ1IP/2E+tRTernzBx8gLVmCcs45mFwutIMP7vMx+/BNxv7VLsOHD6erq4v6+npWrFiB1+s18mD6Ujxua0yhRigKqd0lrEXLQCbi+hun9fzyiRL/cuCEhATS09PDzmJeiBaxTBLOKIrSa6TEZ3DoX7YfGRmJzWZjr732Iioqqs/Ou9lsJiMjg4yMDBRFobGxkaqqKlatWkViYiJ2u52kpKSdDtv32XXZ2IjpscfQhg/Xl3h8lTm1tUg1NagHHKDvb+1a5FdfhYQElPvvRxs5Eqmw0NiMafJklLFjkRYt0js6jxmD+sQTmO69F6Vno8Q+ZmuTcVRUFDk5OeTk5ODxeIxy3Y6ODiNRNDk5ud+WTELt2SFES4hhtVoD2mnvDoqiGBd5z+Ubf4t538POFxq22WxhJUq2x2C7wAWDi96WWf0jmr77NDIyksjISFJTUw1x0tu1XV1dHVA919f4cl3S0tKMZMXa2lrWrl1LXFwcdrudlJSU7T5D+uSDRHfeivzjjyhjxqBdeGHgWF98EeXOO3VR89JLaHY7yvjxmCZMQD3zTDRF2fzi8nJobsb06qtoe++tR2pkGemnn9AOOQRiYnZ/vNtgR03TfOLRd+z9y6l93anDoZx6VwmlROW+IqxFy45GWnpazPf2CcxsNuNyuWhrayMiIsKovOlpMb8nEAqRlsH4CWFH2NMjXT4/oZ6CxL9Kzj+vJJwimj2TFVtbW6mtraW4uJioqCjsdjupqalbTazfnfvBV5qsXnopWknJFoJF+uMPtIIC5HffRaqtRbn1VkhOxvTCCyhjx4J/y5TOTszXX4920kkot92mN0EE3a/lk090F9wQo+ex7+jooK6uznB99QnL/kiiDiaD8Tka1qLFYrHgdrtRVZW2tjZkWd5i6cY/LOyfU5KamrpF35tFixaRl5cX5HcVXPb0SXNPZyDOvX9eie97V1cXCxcuBAjIK4mOju6XKjkfwWxOmZCQQEJCAiNGjKCjo4Pa2loKCwuxWCzY7XbS0tKMDry7Ok5p3TrkV19FO+44lGeewfTccyj/+Efgi7xeTE8/jZaXh3r99aj77KP/vKICXC7Iz9f/r6qkzZ2L+YUXUK+4Qs998UOeMWOLfJj+YncmY//eO/n5+UY59bp163A6nSQnJ5OWlrZbOUihghAtu4HT6eSYY47B5XLh9Xq58MILeXgHTYcAWlpaWLduHRs2bKC8vJzy8nLmzp3L3LlzkWWZww47jDvuuMP4BBbOFvPBvNBCQbT0ZSNMwY7TV8d7W6XBvqimf15JfHw8LS0tHH744UE558G+zvwn0YKCArq6uqitrWXZsmVGFEBV1Z0bZ1MTppdfRktJ0d1rrVYoKQGzOcCdVlq1CtP//R/queei+lntQ3fOygMP6K/79Vess2fjPOAAtNZW1GuuCdxfXR1SbS3q/vvv6mHYKfry+dCznLqxsZGNGzeyatUq4uPjSUtLC6pt/e4glod2A5vNxvfff09MTAwej4e//vWvnH766fzlL3/Zob+fP38+c+fOJTc3l9zcXI4++mg0TeP444/n9NNP7+fRDxzBnrBDQbTsyYTD8d+d0uCtPUD7s5X9QNCXY4+KimLYsGEMGzYMp9NJXV0dXV1dLFiwwCiljtlazojXi+mRR0CWUW65ZbPXiqYF2u/X1+uiJjYW7cgjtxAs0rx5aEceCbW1mF55BW3kSBxPPkns+PGoN920RTTF9NJLKP/+d58dg+3RX89I/xwk3xJeXV0dJSUl2Gw2Iw9moMupd5VgzSWDwhHX53AIenjYZy2/o4wZM4YxY8YE/Oyzzz5D8U8OGwQEe9IK9v5DZQx7Mr2VBvv+7btv/ZdwguUptCcQERHB0KFDqaqq4pBDDqGhoYH169fjdDq38IKRvv0W+bPPwOVCmTo1YDuGn4okIU+ahNTYiHLbbZief35LseF2I3/yCWRmYiovRxk/HiIjkcrKMDmdaMOHb35tezum++/Xf5aQ0P8HpJuBmIx7LuF1dXVRV1fHn3/+iaqqAW0FQlVwh6Lh3e4yoE8YRVE49NBDKS4u5pZbbuHII4/cre1ZLJY+qx4KFYI9YQd7/6EyhsGOLzHdX5A0NjZSW1tLaWnpFqXBvfWpEgwsNpuNrKwssrKyjO7IZWVlqKtXk/fdd1hOOYWYtDTUv/898A8dDqQff4Rjj0W+/37Uv/8ddcQIpIUL0QoKAsWGomD++98hNhbv1VdDRobxK+vkyVRfdBHp3a+T33wTqagIHA7Unnky/UwwIghRUVFGpN/j8VBfX09JSQmdnZ0kJibi9XpDbjlmp5cVw4ABFS0mk4lly5bR0tLCmDFjWLlyJfvvxhpoX5rLhQpiwt6z6avzvyulwYDhZSEIbcxmM+lWK1mffoqalETdhAnUL1qEubWVzsZG0rpdY2VZxvTAA9DWhmazoT79tL4BRcH0zjt4/Zxvpfnzkd97Dy0hAWXixID9ST/+iOfgg9Gio/XXff456uWXA6Cdd57eyXmACeZkbLFYArofNzU1UVNTw++//050dLSxjNQfyeM7w2DMDQxKLDchIYHjjjuOr7/+WoiWHgRbtAR7/6EyhlCnP0qDm5ubB90Dbnv01UN9QCcHr1fvE7Rxo563kppKqqaR/tNPeJ58kpbuSqTSP/5gr/feI6azE+nddzH5rPYB+fXXUa68UvdWKS5GnjYNbdQoSEra0hjO49H7CF19NTn/+x/SuefqZc0tLcgff4x69dUD8779CKUIgizLRoXbqFGjjHLqxYsXI8uykSMTFRU14GMTy0O7QX19PRaLhYSEBBwOB9999x333HPPbm1TLA/1z/6DTbCPQagIpt5Kg31l/NA/pcGh8t4FvSN9/DGmDz9EGTcOdb/9jJ/L772Hev75yFYrSdHRpM6bh9bWhic6mtJ77qF+8WIiIyN1LxhZJqKiAnXMGEyPPgqJiSgTJiAtWAC9GMPJEycieTyY582jcuxYkruX9U0vvojyz38O6PsPdXqWU/sSqdesWYPL5SIlJYW0tDTi4+MH5FkbLHE3KBJxq6urufrqq4124hdffDFnnXXWbm3T59MymAj2hC0YOHorDW5oaKCmpoaysrJeS4MjIiKwWq398lAIBcEq6J2oigpMc+Yg1dbifeYZSE/f/MvWVqSVK1EvuQT5k0+QfvsN9YYbkNatw3LooQw/4AAKNI3Ozk5qa2tpePxxtMRE4h95BMu//401O7t3YziPB/n55zHNnYvnnXdwRkVBUREA0ooVaBkZRuPEgSZclj18idRDhw7F6/XS2NhIZWUlK1euJCEhwSin7i9jxHA5TjvDgImWAw88kKVLl/bpNq1WKw6Ho0+3GWyEaAn+Meirm3xXSoM1TTPs3QUCmpsxvfwyia2tqJdeirRkSaBgAUwTJ6KecAKmu+5CPeMMvYGhw4H8yiso3TksvurNuDfeQN60iY6bb6YmJYXajRth40b2mjePyMsvxyZJevPDr75Cmj8f2tvxfPghxMdDZ6e+Q01DnjkT5amnBvpoGITaZLwjzyuz2Yzdbsdut6NpGi0tLdTV1VFcXExERISRB2PzW8bbXYIRaenvZ3dY1ydarVaR0zIICZdj0B+lwW1tbSH1MBYEiR55KxvXryfvrbf0Hj9+SD/+iLRwIVJWli4iuj+xm15+OcD51tf8UCotxfv550SYTOQCubm5uCsqcDc3s0JVsb71Fnnz52M5+2wiLrgAqaREFyxsFgry7NmoY8boRnVBIhRFy86MR5IkEhMTSUxMBKCzs5O6ujqWL1/ep+XUvr55A82gWB7qD/ojpyXYN0O4TNj9Tagcg95Kg7fVNXh3S4ND6UG8JxAq15k/0rffIn/zDeo11xh5K/aXX0a9+GJDlOB0YpoyBfnDD/F8/DEkJ2/eQEmJ/rrcXGho0E3k0tPR9tkH9dJLN2+jm8hXXsF6000cOWsW3sxMqsePp7aujuznnqP5wQext7YSFxenX++NjUjLluljCSLBfk73ZHfHEx0dbRgKut1u6uvrKS4upquri6SkJNLS0khMTNzppNpQO059QdiLlr6MtEiSZJSDBgshWgZ24t5aaXBhYeEudQ3uC/b08z/QhMpDXVq/Xl/iueEGfVnHN66WFqIrKtD+8hd9aWbOHN1jJT0d71NPBQoW0J1vH3gAefJkpIYGI1nW9MILqNddF7jPH39EqqrC9N57KHfcgZSQQCaQ/e23eO+8EyUhgfLycjpbW8n94QeGffkl3rfeIthHLNQm474cj9VqNfx4VFU1/JPWrFlDbGwsaWlppKSk7FDCfagdp74grEWL2Wzu00iLLMtBnzCEaOnbY9BbabDv31srDW5oaOCQQw4J+a7BgkFCd94KbjfqSSeh9ihQME2cSOWFF5KxZAnyW2+hnnMO6rhxmJ59FvWoowJeK3/+OcTGYnr0Ub354V576dt46CG9I7MPTUOePRvTc8/heestKCjY/LvGRqTKSuTrrycdyFi5Evnrr6ndZx9qRo1iY3U1CQ4Hdrvd8IIZaELtGdlf4kCWZVJTU0lNTUXTNNrb26mrq6O8vByz2WzkwWytnDrUzO76grAWLX2d0xIKgiEUhFO40delwaWlpUETLMG+BsW1N4D456384x+YnnoKtbtBoQ9p6VK0mBiGfPAB0rHH6hEYkwnTI48EihBAWrQI06OP4n3kEbSTTw7cxtChRkRGKixEfvttMJvxTpsWKFjQRZJy++16HsyMGWjd+028/XZqr7uO0QcfTHNzM7W1taxfv56YmBjsdjspKSkD1sYh1PxHBqqtQFxcHHFxcRQUFOBwOKivr2f16tW43W4jDyYuLs4Yi4i0hBj9sTwU7Id2KIwh2PQ8BrvSNbg/S4MHK+JYDRzSt98iz52r563sv7/us3LeeeAvpDs7Md15J9rJJ7PhsstI7xYi0p9/oqWnQ1qa/rraWkyTJiGtW4fnzTcDRYiqIs+apSfwVlVhmjwZbZ99UO65B9OUKWgHHhg4riVL0JKTMb34Ilp6utEhWv7sMxwnnYTWnauVlJRkVLu1tbUZ7R8iIiKw2+2kpaUF3Q12IAmGiIqMjAwop25oaGDDhg20tbWRkJCA3W5HUZRBd1+HvWjpy+WhUBAMoTCGgaZnaXBHRwfFxcV4vd5d7hosEOwIA32vSevX6+6zxx6rCwlJgrY2pBUrUC+5xDco5A8+0MXGbbehnXsuym+/bf7dzJn63zqdmF55BTo6UMaMwTR//hZRE/mtt1DPPRfT//4HgPKf/0BMDKbx41HuuCNwcA4Hprvv1sf2z39CUpLxc+mXX3D95z9IGzcGvh9JIj4+nvj4eEaMGEFHtxvv4sWLMZlMhoDp667IoRZBCPZ4zGYz6enppKeno6qqUU69adMmmpubcbvdpKWlYbVagzbGviKsRYvVau1TczlZllFVtc+2tysMRtGys6XBFouFjIwMkpKS9riuwYPx/Ic6AzLZNDdjeuwxpLY2vC+9BH6Th2niRCNZViosRH7nHdSTTkI75BC0c88N2Iz89tuoF12km8gtXIhyww2Qn4/p7rtRJkwI3GdjI/JHH6Htuy/K2LEwZIi+j0WL9EaJ3eW2vuReecYMlLFj0S68MGAzpsmTUW6+eYcm5piYGGJiYsjPz8fhcFBbW8uff/6JpmmkpaVht9v7xM4+2CKhJ6HWVsA/EhYbG4vb7TZ80nzLSNHR0f02ZlHyvBVEpCV06MvS4I6ODiIjI4MmWMLx+AtCFL+8FVwuvC+8ECBYpBUr0Ox28Hox3X8/2l57oTzzDKYJE7bIWaGlBWn+fKSlS1HPPhv1yScBkL/8Eu2EE8AvmiH9/DPm//wH7/jxaKecsnkbqor8zjuG860vv0U94QRdJPUQLJSXg6bp5dPNzTv11iMjI42uyC6Xi7q6OlavXo3H4yE1NRW73b7LPiShJlpCbTz+REVFkZ2dTV5eHi6Xi/r6eoqKiujq6iI5OZm0tDQSEhLCJmod9qJF5LQMDDvSNdhflOxOaXAoHINQfggJwgP/vBUqK/UfRkZufoGqIr/yCuTkYHrrLZRx4yAmBmnxYrTc3IBSZmtDA5YxY1AuvBB17NjNXisOB9IPPxjOt5SUYJo2DVJTUa6+OlCwAPIbb+jdmTdt0vNbfCLp8cd77SNkmjIF5cEHgd27J2w2G0OGDGHIkCF4PB7Dh8ThcJCcnIzdbt+pfjyhdn+G2nh89KwestlsZGdnk52djaIoNDU1UV1dzerVqw3zy75IqBaRlq0gREvf4V8a7PF4KCsr225p8Pa6Bu8qwb75hbmgYHeQ1q9Hnj4d7ZhjjNwTedasQNt7VcV0++1I7e14L7oIcnKMn8tvv73Z+barC9OUKeQsWoRy/vmot9wSsC/TpEkoN98Mra162XRMDMqDD2K67z7Uf/0rcGBNTUjr1iHV1wOb81uklSv1aI8vsRdAUZAfe0z3hukWWn01MVssFjIzM8nMzERRFBoaGqioqKCtrY2kpCTsdvt2jdRCTSSE2nh8bGtcJpMpoJy6ra2Nuro6ysrKsFgsRjl1pL/QDgHCXrSI5aEdZ0dLgzVN67OuwbtKsM/Dnoo47rtBY6MevUhKMqpuoBdL/QULkN94A7q68M6cGbAJ+fXXUa+4Qv/3u+8i/fknyo03wsKFqH7bAKCsTBc58+YhVVXp4sVu15Nv/d1zARQF8w03oOXkoFx6qZHfgqbpuSy+SA0g/fAD8pw50NyM0rMEu48nZl+yrt1uR1VVmpqaqKmpYc2aNcTHxxul1D0FTKhdp+EoWvzxT6gePnw4XV1d1NfXs3LlSrxer9Gd2r+cOliEtWjpa5+WcE/E7Vka7BMlO1sa3NbWRmpqatAuzmCLR9/+g31zDjR72vuF3Z/8vF4vjvZ2Ej76iIj338czYwYMG2b8Xiou1suYc3KgslIXNfvvry/f3Hpr4MYaGpAqKtD22Ud3xr3wQtRLL0V+801qTzqJ1B4RTfO4cWiZmWinnYb697/rP2xtRVqzRl8C8o3hxx8xTZ+Ott9+WyTr+vcRMiJEo0bB8OGop5yy2ZW3D47V9pBlmZSUFFJSUoyGgrW1tRQVFREdHU16enrA0kUo5WCE6vNiV83loqKiyMnJIScnB4/HQ0NDA+Xl5bS3t5OYmGh0pw7GOQhr0TJYl4e2Jpw0TdtqXklvpcHJyclGXsnOXFyhMGkH+zwI9hy2dZ37L5v2/FJVlZSlS0krLKRi+HCkY48FSSLd6dRLfDUNecoUlHvvxdRd3qzcdx/SunXgdEJKSsC+TI8+CrKMVFamLw/Jsp58u24dbaefvnm8a9ZgGj8e7YAD9EiI3/hNL75oJPBKxcV6efURR6ClpBi5KQYdHXofoRNPxDRhgv6aRx7RI0avv442YsQWx2Kgngn+DQV9TrD+XjBms5mYmJgBGcuOEOzn5dboi3H5qjkzMjJQVZXm5mbq6upYv349UVFRxjLSQJVTh7VoGWyOuJqmoSgKXV1d1NbWbrU02CdKdqRr8K4Q7OMQ7Js/mO8/2Md+T0RV1QCfIN+Xr/LNd89FRkYavV+iN24kYuZMlL/+Fe/115N67710PfEEtfX1rFixAlVVyV+8mGSLBfNzz6HcdBMMHarnssyahbe7egeAjg5M996L1NSE95VXwK8k2DRxoi5Cioo2Nz9MTkYbOhRl/PiA9yGtXImWlgYWiy6AEhJQJkxA/uAD3QOmR6TG9PzzaLGxm5evukWU6eWX9aTgXgjGvenvBDt8+HA6OztZt24dlZWVNDY29psXzM4wmEWLP7Isk5ycTHJyMpqm0dHRQV1dHUuWLDFaDqSkpPSrgAlr0RKOkZbtlQarqorVakWW5T7pGhyOiIlb0Nd4PJ5eoyWdnZ0sWbLEECWRkZGkpKRsvfKtpQXrSy+hxcfjeughsNmwvPoq6nXXYfN3KP36a0zTp7P2n/+kbd99sasq6U4nUe+8g3LFFbqAUFXkN980Ii/eN97QoyvdSMuWoWVlQVwcWR99hCk+HuWf/8Q0c+aWS0uapkdVRozA9MILKLfcAqmpvS4X+SJA8k8/4X3xRaM/EYD0yy9oBxwAsbFbHMNQuSejo6ONUt3k5GTq6ur6xQtmZwhV0dKfvYckSSI2NpbY2Fjy8/ONcuqqqioSfR5A/UBYi5b+iLTsbk7L7pYGb+x2nMzKyuqLt7RLhIJoCHakJ9jvX7Bz9HRV9s/pUlXVyOfyfSUlJREZGcmyZcs47LDDtj/heL1YJk5E6uzEM3YsWmoqAFJtLdTVbbbD37AB05QpmMvL8X7yCfsMGYLL5aK2tpbVP/1E5u+/4zz+eLK++46Ir75CvewycLvRLr44QLCgqsivv4529NGYHniApsMOI+fSS/XkWwjIm0HTMI0bh9TQgHrTTaj77mv8yn+5CEBavBj5rbeQNm3C8/nnAZ4xKAryRx+hPPfcVo9xqEzMvrFERkYauRdut5u6ujrWrFlj9OLZHS+YnR1PKOXY+BjIc+Yrp+5vo72wFi19XT20I80Kd6Vr8M6UBveFcNpdgj1ph8qDMRgE+/yHslhTFGWL+863jOO/dBoZGWncd5GRkdudTLZ3vZnmz8c8ezbExODyq7IBsLz8Mu4778Ta0YFp0iQwm1EvvBBpwQKjQsdmszF06FCGTZ+O47rr8Dz9NJU5OdRfdBFZskxWZSWSL5G2G/nxx5Hq61ETElCffhpHt42/acoUlIcf3jz25cuRp0/Xl5beeivwffmWi9LS9L5DU6agjRiBdswxqNHRgYIFkGfM0D1ltnE8QuXe7G0ytlqthgeJ1+ulvr6ekpISOjs7SUlJ2WkvmJ0hlBxx/QklodlXhL1o6Y/lob7uGrwrYwgmwR7Dnr7/YBHsh5vv3uttGceXaO4fLUlLSyMyMrLfGmNKxcVYX30VZfRoiI/H1SOHxPTLL6j774/5s88wlZToVvlZWZj+7/8CPVkAad48pHXriExJwfrf/5IXEUGm04n3nntYcs45eBcs0HvHqCpRL7+MVFyM98MPA/JQ5K++Qjv2WN35troa06RJugldWhre++7reTCRX3sN5YEHNicBjxund4h+6CHUHuOjoQFp0ybUHg0UAzcZOvfE9iZjs9lsJI8qikJjYyOVlZWsXLlyh71g+nI8waI/l4e2Rn8fh7AWLbt6cLZWGtzW1rZFpGSguwaHwoQZCmMQDE62lvTa2dnJokWLsFgsREVFERERYXwgGPCWDi0tWKdMMfJWTN9/j/e44wLdbN1uLFOnoqWn47nkEpRrrwXQ+wZdcMHmbs1eL/LMmZhmzMDzwQeQmWlsInLJEqQjj+TQE0/E2dSE+7//pbGlhdauLlwPPkia14utW7TIbjfS99+jTJigNz90OlHuvFNvD/DTT5CeHvAW5HffhchITM8+q4up7GwA/f89/F6kxYsxjR+Pd9asbR6WUJqYd2YsJpOJtLQ00tLSjOqX2traAC+Y5OTk3TLJDKVj408wxtXfc8egFC27WhpcV1eH1WolIyNjgN/JZkJBMAT75gv2MRDVQ7uH1+vdIq+kq6vLqIDz3Xv+uSUOh4Mjjjgi2APHMmsWUmUlnptv1vNWurow//wzrscfN14mlZcTceuteE89Fc+tt25eTmlpQVq1Ss9TAaTvvkP++mu06Gi8U6YECBa8XuQPP0R5+mnkd94h+s8/ibjpJuKbm/EuWkRVUhLLli1DkiTS09PJ/OADtOHD9Z5EN96o57RoGvKECVtGdb74AtOLL+J96SW0kSM3/6K0VM+b8bnvVlRgmjoVIiJ0oeXr6rwNgv1s8GdXxtKz+qW1tTXAC8Zut5OamrrTIlmIloFjQEVLZWUlV111FTU1NciyzI033sjtt9++09vRNI36+npKS0sBuP/++6moqOCUU05hxIgRu1wabDKZgj5hhMKkFey8ilA4BoKtsz3vEl+yuX9+ia9799YeoMF+sJq++grLO+/gvusu1O6oCYB18mTcN9+s/6e9HevUqeBwoIwejadHrx5febK0bh3yq6+iHX00yp13Ypo2bYtlF/nVV9EOOUQ3kbvoIl3oqCryiy9ievppckwmcnJycDqddMycSeQvv7DqkEOIvvlm7HY7NtBLmc87D7qfadK6dcgzZiBVV28R1QEwTZ2q58O0t+v5NyYTyrhxmB58ELXn8lIvhNI92Rc5JJIkkZCQQEJCAiNGjKCjo4OamhrKy8uxWq1GKfWOlO+GqjgI1XHtDgMqWsxmM8899xwjR46kvb2dQw89lJNPPpl9/bLdt8WNN97I4sWLUVWV1NRUcnNzcTqd5Ofnc8opp7D//vuTmJi4yycpFCbLUBjDno44B5ur4HbGuyQyMrLP+1D1N5FVVdg++giprg7XY4+h+eztAamoCC0iAi0zE/OsWcglJXhuugnriy/iuv/+gO1IS5eixcVhmjpVN2nrtvE33X8/yl13Be500SJM77yDMnas3m25O+dAfvNNXbz4jmFZGdFTpxKzZg2/PPccB48eTU1NDcuWLcPscLD3jz9ifu45bA0Nen5LWhrqFVcg/fzzFoJFnjsXbfRo5LffRiot1S3/s7KQZ81CvfTSwMqlrTAYJ0Af/uW7Pi8Yf/8RX6uBrXnBhPKxCdVx7SoDKlp8iVEAsbGx7LPPPmzcuHGHRcujjz4asPaoaRqHHHII11xzTZ+cmGBHGHxjCPaEGewxBHv/wWQg33vPpNeGhga8Xi8VFRUBS6jb9S4JR7rzVpJbWvD87W+YfvstQLCgaVinTcN72mnYxo3D87e/4b3ySkzffIP3r38NMIDD5cJ8992oo0fr/indJm3SL7/olv3x8frr2towTZqE9P33eN59NzAPpakJqaQE9aqr9OaHkyZBZCTaqFF6tU931Dg3N5fc3Fy0Rx6h6pJL4P77sXR24h07ltQRI4i67z6UJ58MfK8ulx7Zyc5Gvfpq1OuuM46BtH496pVX9sMB7l/6WyRER0czbNgwhg0bhtPppLa2lhUrVqAoiuEFEx0dPWDjEWwmaDkt5eXlLF26lCOPPHKH/ybNvwspfa8gQ2GyFGMQ++8rdta7JC4ujqioKLK7kzYHJV4vljffRKqowDN2LFXl5eTOmhWQswJgmTwZqa4Oqa1NL3OWJHA6Mc+fj+uJJ/QXaRqmuXOxTp6McsMNepNCHx7PZs8TRUF+4w1dlBx6KNKwYVskzpomTkT5xz/08uWKCj1ZNiEB0/jxejPD7pJn6Lbxr6oi94svUG+8ka7sbGpra6l6/nmUESOIqK4mPT1dLxxYtQrz7bejXHop6vXXb2n532OJa1uE0sQ8kGOJiIjYwgtm7dq1uFwuwwsmVEueg8Wg82np6Ojgggsu4PnnnycuLi4YQ+iVUJisxBiCv/9woi+9S9xud9gt7+wMph9+wPzVV3iuuEL3IwHs06fj9a/2aW3F+sILmBYuxPHBB3p5cTeWqVNx33QTAPLq1Vhefx3vEUegHHoo+AsWQJ42DfWGG5Dmz0f+4gvUK65AveIKTOPG6UtCfkhLlkBnJ6ZnnkG96iqj+aHpf/9DGTs24F6QFi3CfMsteJ98Eu2EEwCIBHJTUzG1ttJx++3U1tayct48sj/6iKi0NGKOPRZ6+MBIq1Zt9nDZQfZU0eJPb14wpaWltLS0EBUVRVxcHAkJCSFznAYjAy5aPB4PF1xwAZdffjnnn3/+QO9+m4R7l+fBNIZgEkrvP9S8S8IRqbgY23334T31VFxPPrk52tDcTPSGDSh/+Qsoih6BKS8HlwvnjBkBgkUqKdHzPmJisE6YgJaVhevRR7E+8QTuW28lIFVz40akkhKk8nK00aN1kSJJyJMn64LE77xIq1ZhHjsW5YEHUM86a/PvystBVSEvDzSNiPp6TPffDx0dAYLFh+mll1BuuYVIIP/jj8l3OOh85BG8Eyaw8KKLkBYtIj09HbvdjtViQZ4xY4uqo3AiFASUvxdMeXk5DoeDqqoqVq1aRWJiIna7naSkpJB0yg1nBlS0aJrG9ddfzz777MO///3vgdz1DhEKk1UojCHY7GnHwN+7pLm5GYfDQWtrK06nE03TQsO7JBzx+a1Yraj5+Xh9uRzdWF96icqLLiLtxx8xf/EFnssvh0MOwVRYqEchfGga1ilTUIcMwTJtGu5//hMSE5EXLkTNzw8sFW5qwnL55ajnnKP3/7HZ9J9v2oTU0oK6zz76/+vrMb38MtKGDXhffBGtxzK5afJklIceMip90jZuRLn/fr3JYQ/BIhUVgc2G/NNPSCtWGCXRkfPnI510EkccfzwOh4OamhqWLFmCff58YkaNIl5V2Zm2dqEgFHyE0lh8xMXFkZWVFeAFs3btWuLi4rDb7aSkpAzqSOZAMaBPvV9//ZVZs2ZxwAEHcPDBBwPw+OOPc8YZZ+zWdvvqAg6FyTIUxrAj7Qz6m8G2PLWj3iUAkZGR5ObmYrPZxKe0XaFH3orl1Vfx/OtfAS+RCwvRoqLIeestpDFjcD31FGgatnvu0aMxPjQN6/jxSNXVeG+8EW34cP3nioJl9mz970DPYXn1VeQFC1CuvjqgbBq6IyH33gsuF6ZXXoHWVpQrr8Q0a9YWgsWo9Hn3XaTuiqXKqipyZs7cwhgOTUMePx7S0tD+8hfUv/1t83g+/9xYioqMjGRYQgIFM2ei/vknpZdeSsmSJZhMJjIyMnaotDdU++uEAv5z0Na8YIqLi4mKijK8YPrCQX1PZEBFy1//+tc+nwx8Vv423yea3SAUBEMojAGCLxrCjb7yLqmrq6Orq8sQMIKdw/TDD5i//NLIW5GXL0dLTw+MnDQ1Ybv7brznn0/J3/9O4ujRAJjffBPPpZcaJcfy8uVYZs5EamrC+eabAfuxzJyJ56qrQJIwffUVpl9/Rb3iCrSiIiNfxoc0fz7ayJHIc+ciLVyIesMNaAUFmB56KKCZIQBOJ/KMGXqlzxVXoF57LZqiEPXHH3rFkl+StFRcjGncOLR999X9V/yuI3n69M1LUW637t9SWwuahvbiiwzLzmbYsGF0dXVRW1vLkiVLMJvNpKenb1XAhMJzyUcw7Om3xdY+OPfmBVNbW0thYSEWi8Uopd4RLxiBTtjHl/tatIicluCPIdjnYWvvX1XVrSa9DibvknBEWrEC69tvoxx1lB79kCRQVSyzZm2OhnQ73po/+wzXgw+iHnss2qJF+t83NCCXleG98kqkmhrdon/YMDS7Hffddwfuq64Oqa4OJAnbuHF4Tz4Z5emnMb34IurYsYENB91u5FdfhdRU1PPOM3r+SIsXow0bFrC0JK1Zg/nWW/VKH//cF00j89NPUV59Vf9/U5NeEh0djZaTgzJhQuDBqKlBam5G3Xtv5E8+QfrtN138mM3IX34ZIHyioqKM0t6uri5jCWlrAiYcP1AMBDsS7ff3gikoKDAE49KlS5EkySilFh9Ytk3Yixaz2dxnTRNDYVkk2IIhVMYQrP17PB48Hg+NjY3U19cbwsTr9Q5+7xJC69P0DtHainXKFEzz5+OYPRtiY41fWWbN0vNUTCZM33+P+euv8Z5xBsrhh6Mee2zAZiwvvYT7ppuwvPgiktOJ+447kDduxPTTT2g92npYnn4aIiIwFRbieuwxMJsxVVSA07l5+QigshLLDTegnngiyr//vdk0TlWR334b5Zln9P9357doVivqKaeg3nBDwP7kTz+l6S9/IRWQu0uxlX/8A9Prr28ZqUFfilJPPhnTnXeinnWWIZRMd92lm95thaioKPLy8sjLyzMEzOLFi7FYLKSnp+P1ekMmIhBqOS27Mh5/weh0Oqmrq2PlypUoimKUUsfExPTTiPuHgXh+hL1o6ctOz6EwWYsx9O+nuR3xLnG5XDidTuLj443eOAO1/hzsvkdhg6LofYIqKlCzs1Huuy9AsEj19UhVVWhHHYVt3DiUo4/G9dRTWB98EHcPh1rT778jtbVhmzQJ9/XX652TNQ3LjBmbPVkAnE5s992H1NCAc+LEzaZxgGnSJBRfF+iODkyTJ0NbG+pRR23hiCu//jrq5ZeD241p2jQ9v+W22zA99ZSefOtPVxem33/HlJaG6f77Ua+7DnXvvbfsI+R733PmIK1ejbT33roo8rntfvkl6sknb04M3g69CZiqqiosFguqqmK324OakzEYRIs/ERERDB06lKFDh+J2u6mvr2f9+vU4nU5DwMTGxu7UPgbrM1yIFj+CPVmLMfTN/n3eJT2XcnbUu2T16tVkZmaG3aecPQWTr9rniitQx4zB+t//4u5RGWR59lmIjMQ8bx6uhx8Gmw3Tjz+iHnJIgLiJW7UK2yuv4HrmGZTu3BYA83vv6f4tZjNoGuaPPsK0eDF0dOCcOTPQpO3bb9FGj9YreN54A2n9epSxYzG9/DLKuHGBg29s1MuqY2OR33vPyG+R585FO+aYwE7SgOnee9E6O1Hz8gLEj2nKlMBlIZ/b7ty5eD//HPzcWnE6kX780Yi47Cw+AQN6NNrtdlNYWIjVajWWkAZawAw20eKP1WolKyuLrKwsvF4vDQ0NlJWV0dHRQVJSEunp6TvkBROsY9Tf+xSixY9g51L4xrCni5bt0d/eJaH+/vdUpOJirK++ijJqlJG3Yn3sMb3Tsg+PB9v48UiVlbgmTkTrttTH5cL85ZdGZZBUVYVl2jSyVq7EOW0a6n77bd5GSwvyunW4L70UubAQy/vv4z33XNQhQ1CuvjowZ8XpxPz992hnn43p7rtR//Y31KuuQvruO70qyF88AKZx48Bi0fsE+USEy4X03Xebl4sAKisxPfEEUns7zmnTaPnzT+NX8ldfoR1/vO4j4/Uiz5yJVFmJFhuL+sILW+5zyhSUblO83UHTNCIiIkhPTycvL4/Ozk5qamqCImAGs2jxx5dblJ6ejqqqNDY2snHjRsMLJi0tjeTk5F6TkkMtWbmvGBSixev19sm2QiGnJRTGEGx84rE3UTLYvUtC6UEcMrS2Yrv3XtR998X14IOG6Zu8dClaVhZaaiqgRzzM33yD1NyM8623AsSFZdo03DfeCF1dWF95BQDPlVfiePFFYvwFC7p/i3fMGKzjx6PuvTeuJ59Eqq7G9PvvqHvtFfjaxx9HamuD5mbDRA6XC3nuXN1+38eGDZgffhjNZkN56aWABoWmyZNRxo7V/9Peri8tyTJYrXinTwdZ3nxdOJ1I8+ejPPUU8ldfIc2fr7vonnsupkmTtugmTUUFeL26SV0fEx0dTX5+Pvn5+QMuYPYU0eKPLMukpqaSmpqKqqq0tLRQW1vLunXrevWCCbVj1FeE9xMePZQmlofCcwxb8y5xOBxomkZ7e7sRLfHllgyEd0mwz0Gwz3/I0O1SKy9fjma347nllsDfvfUWrqefRl63Dstrr+E99ljUoUPx3nhjoOtseTmS241pwQLktWvx3HgjWnY2tvvvp/KCC0j126X866/Ia9Zgjo7Gfc89RtTCOmkSrnvv3fzCpiasTz2FvGEDrjfewOK3lGiaOlUXIZJkLNtgNqNFR6O88EJgR+UNG3RRkZOjlyV3d2CWly5FO+ggsNnQ3O7N254yBfWYY/SozimnoHYLI9P48Sh33BF4/DweTP/9L0qPvkq7yrYmwWAKmFBgoD1sZFkmKSmJpKQkNE2jra2N2tpaSkpKiIyMxG63Ex8fL0RLKGI2m3H73dS7Q7Anq8E2hl31LmlpaaGzs5Nhw4b1wbsRhCMmP5daefXqLcqOLa+/juecc7A+8QRaSgquCRP0aMjatYEVPJqG7cEH0VJSUI8+Gm+3+Zpp3jyUI49E8eWQqCrmt9/GOnUqjrfeQhs6dPNY5s3Trf6jo8HjwfLaa3rZs8uFc+ZMJP/k1ooKcLk2i5CyMl2EfP012oknBgoW9ARe9eijMd1zD+qVV+odmB0OpJ9/DshBkSQJFi1C/vJLtMsuQ3niCT3fBpAKC9Hy8yEx0XjP8uefI7/9tl4l5d+RejfY0U/u/gLG35fEarUaRna7GxENNaO7YEY1JEkiPj6e+Ph4hg8fTmdnJ7W1tUZrgcrKStLS0vrEFiQUCHvR0pfLQ4NJMAzUGPrDuyTYnw5C4RwEi2C/b6mkRM9b+ctfcD31FObPPsN7yimBfYCqqjB9+SXSwQfjuflmtORkAKxTpuDyVfCgR1hs996LOmIE7gcf3Bx9cToxf/utXhlUWIjpl18wf/IJWkwMzokTAwQLLpf+2scfx/Tll5h//hnP1VcjlZXposFvXNAtQkaPxjRu3GYR0tCAVFmp/9sPedo0pOJipGOO2by0BHoCr5/zrdbeTtabb2JesQLP22+D3b55I77y6W7nW2nxYuR33kE95RS0rCzUPshl8Wdn782YmBhiYmICBMyiRYuw2WxGBGZXBEywr9OehEqXZ0mSjGOemZlplFAvW7YMwDCzC2cvmEEhWsTyUP+OYWtJr/3lXRIKxyBY7Kklz6aODqxPPYUWHa0Lj4gIPb9j0SJcjzyiv0jTMM2di+3xx3E+9xzq4Ydv/vsvv8R7wgl69U1bG9apU9FkGW3IENw9yogtr7yC+6abkEpLKZg8Genss3HfdReWadP06iL/106diveYY7D95z94TzlFFzpdXdjeeANXj2UXefp0pKIiXYQ888xmETJxYuDSTW0tpokTkQoL8X72Gfh7n5SU6H4uOTmgKMhvvolt7Vpcdjvq8ccHChZAfvNN3bq/shLTtGloe++t57u88soWzRl3l929LnsKmJqaGhYuXGgk9+6MgAm1fI1QGw/oYzKbzeTm5pKbm4vL5aK2tpZVq1bh8XgMM7twq5IcFKKlr5aH9tQuzz29SxobG/F6vVRVVRneJf7LOAPhXRLOJdeCnUBRsLzxBgfMnInn/ffR/CZl68sv4+7OY5HXrMEycyZqairuO+4IECx0dmL+7TdcDz+M5Y03kMrK8Nx0E5Y33sB9++0Bu5NKS8HhwPLuu2ixsZRefz2Jo0djfegh3D37Ey1ahHnuXLzx8YaJHOgRHffNN2/eZn29Xm7sEyF+94W0YIG+XJWYCA4HpqlToasLYmLwTpoUKFjozoeZMAHpu++Qv/4a9fLLcY4ZQ+wtt6D2LJ9ubkZatQpp0yaw2fTeRlFRAY64fUlfTswxMTEUFBRQUFCwSwIm1ERCqI0HtqwestlshheMx+Ohvr6eoqIiHA4HKSkp2O124uLidvt9iJLn7SCWh3aMnfEuiYqKwmq1kpOTE5R141C7+QX9g+mnnzB//jlaTAzFN9/MPn6CRf7zT70qyGLB+sgjaBkZuB54ANuECbj+7/8CtmOdNAll5Ehs//kPnu6SY3nNGrT4eLTMzM0v9HiIuP12lJEj8dxyi152vGiRXhW0zz6QkKC/rqsLy/TpmD/9FMc770CqX6puURFuSaIxKgpnSQnRb7yB2tqKxWbD+tRTxJjNGFevoiC/9x7K008jv/MO0p9/6h2YZRnT++9Dfn7A+5C//FLvSTR+PNqxxxrRGuv//kfpBReQ7H9feDyYr70WbfhwlGuugfT0zcf1pZdQeuQA9RX9cW9uTcBERkaSnp5OamrqFgIm1ERCqI0Htj0mi8VCZmYmmZmZhhdMeXm54QVjt9tJTEwMufcEg0S0DKblIdi1KENfepdUVVUhy3LQEt2CfR6CvUQTCtdgfyKVlmKdPh3lyCNx33EHltdfp8N/AldVLK+9hjpiBJapU/VoS1ISlhdewN2jt4/pm29007i99trcc0jTsLz2WsDyjembb7BOm4ZnzBi8frklkqJgnjNH/1tVxTx7NvKKFbiGDqVl7FianE4c69fT1dWF2+VixOTJVP3zn2S8+y5p69fjvPZaoqOikOfMoUiSaP/tN1JTU8nIyCD+vffQDjxQT7K96CLUyy7Tx3LPPSgPPhh4UCoqMD3xBMpVV6E89tjmaM3GjbqhnS/PxpdkO2cO6siRqH45PADS77+j7bcfxMX1wZkKZCCuS38B097eTk1NDWVlZVsImFATCaE2HtjxMfXmBbNp0yZWr15NQkICdrt9q14wwUCIFj9CYcLY1kWmqupWLej70rskFI5DsPcv6Afa2rBOmRKQt2J74AFcd98Na9fqr9E0bPfcg9TWhnLiiagjRgB6gi6ShObzG2lu1nsO/fgjjg8/DDBUM7/3Hp5uN1vfspJ31CjUESMMweJLIE//+GMqTj8d7/vvE/vVV2w67jg6Tz2VEbNmUXfPPUSZzYbAj/rqK+RRo7C/+y7eMWNQbrkFC2D7z3/QHnuMAyMiUBSF+vp6qj/5BMukSbRffz3REyYQ1T0+6Ztv0P76180VPV1dmKZORZo3D89LL8FBBwUcMtPLL+O44w6kqqrNSbannYaWkIDqX4INemRn9myU557r2/PWzUBPzL7mgsOHD99CwLhcLhRFCRlfplAULbtiLufvBaNpGs3NzdTW1rJ+/XpiYmIML5hgHvfQOOO7wWDzafF6vSiKQl1dXYB3icfjQZKkgKTX/vIuCbYzcLBv/lC4DgYVioLl5ZeRWlrw3HSTkbdimjcP5YgjDFt9edUqLFOnQmcnTl9HYwBNw/rKK7gmTNA7Nb/xBtLGjahpaXgffjjQAba5GXndOpSTTsLy8MO4UlKovf12ol9+merTTqNt6VI8Hg+yLBPX3k5SdTXxn3yCNnIkTJ3KXlYrtv/+F8/48cT6dUOW1qzB1h3pcT31lFG6bPrqK5Tjj0furiIytbaSNX062b/9huOTT3BJEuWrV6OqKhlJSQz96iu0//5Xr/p55x2kVatQzjgDk6puIVikH37Qx9XczNCXX0Y69lg9yXb2bFRfiwE/5JkzUXs69vYxwbo3/bsjd3R0UFhYSGFhIVFRUVtdQhpIQlG07O6YJEnq1QumtLSUiIgI7HZ7UPx3wl60hFukZUe8S9xuN52dnQHeJRaLZcBuimBP2sHefzAJ9nvv632bfvoJ81tvoSUm4u620AfA4TDKjqX6evJmzMB0xBFo8fG4fdVC3Zg//hjvGWfo2/ruOzxXXYWakYH1pZdwHXYYjo4Ow5Qw6dlncZrN8NBDbDz/fCx2O4krVyIlJZFy4IEMjYrCbDYjtbURedFFlO+7L5YnnjB6/khFRWgREWg+wdLainXqVEx//IFj+nTdD8X/Pfz8M+4nnkB2u3Vflro61COOQMrNxTJkCNlAdnY2LpcL1+OPs/yvfyVy2jSGLF6M9eqrMV1+ub5c1LNRoseD/MEHkJ2NtbiY9dddR/JRR0F7O9LKlaiXXhrwcun335GKi1Gvv76PztyWhMI9KUkSsbGxREREcOSRRxpGdr4ITEZGRlAiAYNRtPjj7wUzYsQIo3x98eLFmEwmo5R6R1ul7A5CtPQDu+tdsmjRoqAaqwV74tzT9x8s+vJ9G3krRxwB8fG4H3444PfWyZNxX389lsmTkdraqLj4YtJMJqT4+IDuybS1IX/zDZ7ISNqPPJKGsWNxOJ3Y77+f8jFj0JYt0++liAgy3nyT2LIynM88g2mffXSnW03D9vrruB5/nEizWY/UzJyJ6eef8Vx5JRV7743d51mhaVinTcP16KP662bNQqqsRDnhBD2pt0firHXqVNw33ojp008xLVyod2AuKMB0112Gb4oPW00NUQ4HiQsW4Bw5koq77qKuvp70SZNIOuAAYqxWDOcijwfzdddBXBzeq6/GFR+Ptn490J1k6+8MXFOjVy4tW4Z32rTdP3HbIJQmZt9YekZgampqKC0tDYjAbMsTqi/HEyo5Hz76s/eQf/m6w+GgtraW5cuXo2kaBx54INYeVXF9yaAQLX1VPQQ7Hv4caO8SgSAsaGvDOnmykbdi/uILvGedBX5unPK6dXrzw9dew91dAeP95RfUDz+k5p57cJSX09XVhbemhn3Hj6f+yCNpuPpqIuPidIvy8nKiR40i6eST9e0tXYplxgykTZtwfvopJr8Htfndd438FtO33+qRmksuQV63Du8VV0Bh4ebXfvwx3jPPxPTDD/rrrrwS9ZprsN1zj17y7IdUWgrV1VgnT0Y580yUbvdaedo01GuuCXS+ra/HcuWVKBdcgHrzzVisVvKB/CFDUN99l+JbbmHlH38QGxPDsJUrSfj1V7SkJN3yH9A6O/V9rluHFh8PGRnQ2amXT7vdqCefjJSbu4WHS38QSs8v/7H0FDC+HJiSkhKio6P7XcCEkqDzMVBjioyMNLxgHA4HET0MF/uaQSFa+iPS0tO7xD/pNVjeJQNFsP1qgh3pENVDu0B3LyCfR4qWnq53S/7zTyPK4vF48BQWEv+vf1F1663UH3oojrY2lIULyfjgA0rOOAPZ6STKbGbId98RWVSEdumlmG+9dXN/IK8X25df4nrqKaTqaixTp6IWFKDutZde+usvFpqbkYuKUA86CNs99+A9/nhcTz6J5aWX9OaJ/g/09nZM334LsbH667orkcyzZ+M999xA75XKSiKvvRb3ddfhveIKJLMZGaCuDqmmZnPTQqcT07RpsHQpytixugmcH6bJk+G22xiRn8+I9na806dTc8ghdHR20nrLLdibm0lISNAnH3RBpDz6KPIbbyCtX49yww0wZAimO+8M7BDdT4TLdSlJEnFxccTFxQUk8fangAkVR1x/giGkbDZbv0e2BoVo6erq2qW/7c27pKuri4ULF27hXZKQkEB6ejqRkZEhFwYcbITtxL2HYvrxR6zPP49r/Hhcl12m55fU1BD37LOsO/dc2gsLMTc2MvSTT4hsb2fTXXehHXMMQ6Oi9Oq2DRuotlgYcvLJmL/8EtOvv+K+6iqkysoAEzcAy4wZeC67DMuLLyJ5vbj/7/+QOjt147n99w94rdXXTPC33/QlH4sFqbwcVHVzFRIg1dURcdVVeE89Fc+tt24WKK2tyCtW4L7oIv3/7e1YX3kFuagI1113oZx1VuBxmDgR5c479bLk2bORli5FufJKTBUVRrmzga/7stWK6f770YYPx/z88wz54w+IjMSSl0dVVRWrV6/WJ+DvvkNLT8d0//2o3V40APJbb6FefLHuotvPhGI0YXsMlIAJxWPTn8tDwSTsRcu2qod2xbukubmZww8/POQuwIFkTxcNe/r73xb+95Rn7Vqi33gDpauLTeeeS4vHg2XlSiIjI0kuKUHOyyNrn31IeOcdZIcD9913Y339dSIvvNB/g1inTqX5wAPJGTcO76mn4nr8cSwzZ+K5/PKAyViqqsL088/IlZW4b7jB6BFkeeYZ3HfdtXmbTifWhx9GLi/HOWlSQCNB65QpuHxJrw4HQ2bPxqqqeM84A89ttwW8V+vLL+sixuvVo0jl5XiuvFLvjdRDsEi//462zz5Iq1cjf/gh6gUXoF58MaYXXtjc8dkP0/PPQ1ISpvffRxk3DmJiwOtF/vBDlOeeI0WSSElJQVVV6r74goSZM1lzzTWYbrqJjMxMogFaW5HWrEG9/PLdOKM7Rzg/F3sTMNXV1ZSUlBATE0N6ejopKSm7JGBCUbSE4pj6ggEXLddddx2ff/45aWlprFy5cre3J8syzc3NfPLJJ2zatImTTz55t7xLZFkelCd6Zwj2pB3s/QeTULj2fMLEV5Hj++5wONA0jQi3m9xPPyUyNhbH2LEkv/8++Vdeuflh7/Vimz4dZfRoTP/7n76Mkp+PdcIE3LfeGrAv8+uvIzU0EFdSYljlS3V1eknzNdcYrzP98Qe2u+7C+cgjqMcdt/nnP/yAOnKkXjataZjnzMG0aBE0NuJ8662A5SLzl1/iPfFEsNkwz56Nafly6o86ipxff8Xj16AQQF6xAi0tDfnPPzF/+y2eyy9HvfpqrM89t0X0B68Xefp03TnXat3c/NDX8dk/gdfrxTRuHNKmTXjvukvPT/Ht87XXUK+9drPA2bQJy+TJpK9axdpnnqHg5JOpq6tj7dq1eDwe9vvwQ6y33spA9e4dTPekv4AZMWIEbW1t1NTUUFxcvEsCJhQFQiiOqS8YcNFyzTXXcOutt3JVd3hzZ6ipqWHWrFmUlJRQWlpKfX09bW1tJCQkUF9fT0FBwW57lwymG3NXCbZo2NP3PxD79pXe+wuSpqYm3G43mzZtwmq1EtW9fBMfH68vjVqt2N55R89b+fe/0dLTSXzoIdz//nfAw906YQJSaytacrKRwCovWICanw/dHZlxOrG8/DLmuXNxzJ7NpvXryer+IGF56SXcd94J6J2ardOno5nNuO++O0Cw4HJh/uorXE8+iVxYiOW99/Ceey5qQQHK3/4WmN/S2Ynpt9/wnn22nt9y/vm4LrqI+Mcfx3PhhYGeJ6qK9fnn0VJSULOycD35JEjSluXQAE1N2MaOhX33RRk/HtVqpbKiguLiYsqee47WY44h98MPOeP004n+4Qek776D5ma877wTGH3x5cMccAB0dGCaMgVUFeXCC/HGxODJzsZsNm+2Xl++nM6EBJbX1kJtLRkZGUbJaX8xWCfBnuW8uypgQu3YhGKeTV8w4KLlmGOOoby8fJf+VpIkMjMzOfroo8nPzyclJYU5c+awYMEC7r///r4d6B5MsCdtQd/gn0zuL058UcieOVtmsxlJkhjqs4z3wzRvHuavvzZ6+wCYfv0Vdd99jeUXqaYG67PP6lU8s2ZtXtrxeLB88AGup5/WoyEff4ypsBDN7cb55psBJc6mn35CPfhgAKzPPIMWEYHr3//G9swzehWSH5Zp0/CcfTa28eNR9tlHT86tr8f088/65O+H9fHHobMTqbJSFyGyDC0tRG/YgHrkkcbrpLo6bLfdhlpQgPvBBzfnt2ga1unTcT3yCKqqsmnDBjZMmkTJunVUd3WhRUTA008jyzJZWVkMb2nh7EsuIfXKK1n+3nv877TTcObkcFx8PMfecw+mnstFL76IcvvtutdLaam+pJSdjenuu2m76y6oqfE/sdjeeAPzk09yhMWCw+GgpqaGxYsXY7VaycjI2KmOyYLNbE/AZGRkkJycPCBl1LtLKJZh9wVhdVXb7XYu77F+25eOuBB6anlPJNiiKdjVQzuDT5j4i5Kurq4ATyBfxCQxMZGsrKytRiHdbvcW9gFSWRnWF19Eqq/H+cYbm6MDbjfmTz7Rq2wcDizTpyM5nQA4p00LyEWxvPoqnr//XS9NfvddvOecg+eiizAtW4aWlrZ5Zy4X5s8+Q91/f6zPP4/nxhvR0tOx/u9/W/QcklatwvT990heL65x4wxXXMvLLxtRGgBaW7E9+ihSVRXOGTMMEznQc1YqL7yQZNDfw6uvIjU2og4bhuuRR4x8h9LSUqq//x7VauXnc88lV5L4i9lM3qWXcpqqkvrAA9h6vA/T/fejXHABpvHjObSggEPmz0eprOTXJ5/k4bffRpZljjnmGI4//njkhQv1SqOnnkK98krU7lYD8pdfop1wAvhbJXi9mMaPRz3rLENQRUZGMmzYMIYNG0ZHRwfV1dUsXLiQ6Ohow2ytLyavwRpp2RpbEzBFRUXExsYaEZhQFQaD9XyFlWjpjf4oeQ6Fkx3MMQRbNMCevUzX871rmhZQ3eYfMfGvcouKiiIpKYmsrCwiIiJ27/rx9QmKitI9Vx54IEA0WKZOxX3DDXoOyZIluK+/HnntWjjggABbfamyEqm6GvPbb6OOGIHriScAdO+T7uoeH7a77waXC+WQQ3Q7erodai0WtJwc/UWKgvntt7FOn45j5kw0PxNG088/ox50kN4s0Gf3X1UFXV264PIrW5aXLkXNyqLG4+GPRx6hdNkyKgoKYNkylMMOg8cfJz09nfz8fE448kjy1q9HGTMG3n2XbzIz+bW9ndrffiNl2DDsvkRf3zgmTtSXk959lw1XXUXxpk0Uv/YaNbNmoR5zDGazGUVR+Omnn/j+7bdJ+O47znngAUZcd93mY+x0Iv3wA8rTT6O1tuoVSV98gfTtt9Dejnb88b2etpiYGIYPH05BQQFtbW1UV1ezfv16EhISyMjIICkpaZevi1B4LgaL3gRMdXW1IWA8Hk/IVeuoqhoUCw7hiLsd+sNcLtg3Z7DHEGzREuwHYzDev6qqOJ1OWltb6ezsZP369YaLcs+eU/1qVqgomGfNQi4txXPTTcjFxUjV1ZsrcNCN1aTKSqzTp+M95xy9nLizE/P06YEmbF1dRNxwA8rxx+P+xz+MHkOW117Dc+WVRs6JvH49ez/zDCQl4Zo8efPE7e9Qi15abf7iC9TsbFzjxwcIFtxuzJ99huvJJzHNnYt5/nw8V12FtHIldYceStHixZSUlFBRUYHi9WKeN48lJhNqVRUXXnklo//7Xy6rr8e67754ugWTD+t99yE5HGhFRXiffpqTZJmTvF68d97JR9nZvPp//6cvqw0ZgmPePKSSEpRzz0Vyucj46ScKCgo4PTaWrNtugwsu0DdaWambwwFNr73GnA0beOOBB0hPT+f8889nyPvvo9x0EwDmZcvInjkT7W9/Q8rKQrnkku2eRv9J1tf4btOmTaxZs4bk5GQyMzOJi4sL+r0WjvQ8tq2trTQ0NPD777+HVAQm2PNYfzEoREtfLw8F+1N+sMewp++/v/AJk55LOW632xAmvrXy1NRUoqKiBqSXh4/IhQuJmjsX9YYb8F55pb5c8+mn+hJQN9LGjZuN1fyEh3XSJF2Y6G8U8wcfYP74YzxXXKE7z/r+vrZWTzg96CBobNSjOSkpeCMjcb3wQkA0x/zRR3jPPhtpwwasM2agjBqF64EHsD31VEB5sqZptP7vfxRnZlJ2/vmUpabiyc2Fd9/F9PvvJF54Ifk2G0cddRSXXHIJUS+8gDx8ON7TT+fr2FgqKit5dfp08hcv5qzXXyfZt+HWVmyPPQYbNrDxmWcoqa6m+J13qKioQFq8GDU7G624mH323pv0TZtY++mnODs6yPv3vxlzySUk+oSe243p3nt1A7i2Nt1UzmxGufFGTDNmEHfccZxRX09xcTGLFi1i7DXXEFVfz2mKwgUbN2LZay/K77iDhOhoWLUKesk52hb+je9UVaWhoYHy8nI6OztJTU0lIyODmJiY7W5nsE6Cu4MkSSQkJBAREcGoUaNobW0NmSWkYJ2vQRdpueyyy/jhhx9oaGggOzubhx9+mOt3o8lXf0RafI0Lg0WwJ22x/13fv6/vVM+lHJ8w6ekLFBkZGSBM2tvbqaqq2jzhDRDmV17BZLFQO24cQ3z+J1On4r7pJl1IdHVhmTYN07JluP7zH5TTTjP+Vl61Ci0hAS0rC3nBAiwffojn9NPRcnMDBAt055zcfjuWV15Bqq/HPXYs5l9+oXHUKBL9rP5pbUVesADi45GTknA99BBNnZ1UPPAA6/bem/KnnsLr9SJJElJ1NbVff01zRgajLr2Um6+8ktjYWKyPP47nrbc25800NWF9+GFMK1bgePddiIggftEirjv5ZCxvvEHhfvvx2BNPUFlRQWxdHXlWKxanE++pp5L85Zfk5+czatQoLj3+eCI1Dfe99yIvX47l7bfh9NPhuOOQOjsp2n9/pk+fTmtrK4ceeihnlZcjXXstLRMnUrxiBetHjqS8pQXlmmv05oqPPEJqaioFBQWcc8453F5Sgmn0aNY1NjIlJYXaoiKGulyMKC+H7uW1XUWWZdLS0khLS8Pr9VJfX8/69etxuVykp6cbBpq9IUTLtvEJGJ+LcU8B40viHSgBIxJx+4h33nmnT7dntVpxu919tj1ZloP+KT+cJ+09AUVReo2YeDweo++Uf7nwQHfp3lnkBQsgOpqOE05A645aSsXFAGh5ebqnyZ9/4r74YqSmpgDBgqpimTkT9z/+ge2BB1D23x/Xk09iffbZLTxZTN9/D4Dt2WfxXHMN6l576fb5ixbRfO65ALS0tPDn4sU03H8/G2JjcR55JFpzM9qzz5LkcjEcGHniiYzJycGqKFimTcO8Zg2On39Gs9tZsmQJL7zwAmp1NacmJHB4Sgqy243ltdeQ6utpbW9nzR13UPLZZ5SXl1NWVsY3H3+MXFhI7Nlnc3pyMsO7uqi94AK+/+IL3BERHH/88Rx11FHGBGB98EE8l12G9aGHUPPzcT/+OBaTCdO999IyfjxtJSXk5uZSUlLC1x99xMs//IA2cSL7jR7NqZddxuEjRnBRUxO2jAzdl8WH243pnnuQ6uvx3ncfBXY7dwFNTU38/uyzPNnQQOeDD3LYYYcxZsyY3f5gZTabycjIICMjA4/HQ01NDStXrkRVVTIyMkhPT+/XEurBTE8B09LSQk1NDevWrTMsBPpbwIiS5xBFLA+J/ffH/hVFoaOjIyBi0tXVZTTE9EVLoqKiwkKYbBWPB8vs2bieeQaptlb/maZhfeUVPOedp3uajBmD66KLsD7yCJ5//jPgz82vvgper76M9J//QFSUHnlJTETLzDReJxcWYnvgAVwPP0zzEUdQUlJCyQcfUPH66zj335+NM2fyzTffkLhxI9KKFaw1m8k++WQuvfBCveO5punJu88+C7KsC6mVK1EKCvRqofR0JODQQw9lr+HDKf/nP3k/MZGH//IXTO3tjBg1iiSbjXiXi2EdHRxwwAGcffbZrFixgtFffYX3vvuwfPEF3lNOQbnvPnLb2zl6zRo6H3iA+fPnM2HCBKKiojgvNZXhpaUUzZzJ2pEjKdm4EcdTT2EuLEQrKCDm1VfJz89nv/3245zsbGI++QTvpEl4Tj+d77//np9//pllS5dy7vr17DdjBlL38ZY//BDpjz+gtZWOGTMoKy+naMECiouLqa+uRpo/H9vZZ5MYEUF1dTUPPfQQVquVM844g5EjR+72dWexWBgyZAhDhgzB6XRSU1PDkiVLDGFjt9tFpGUXkSSJxMREEhMTB1TADNbzNShES38k4gaTUBhDsEXDQOzf6/X2upTjcDiQZZm2tjZDnCQmJg5IQ8yBPveWadPw3HBDYC7J1KlIjY3IGzYYnibyokWow4ahpaToL1JVLFOnYv7oI5yvv75ZoHRHXhruvZfS5ctZNG8eTXPnojY2ohxzDCxYQOzq1eTn53OA1cqYM8/ENHYsa95+m4OXL8d7/vmYo6NxPfUUTS0tfPzxx8ycOZOChgbOu+ACEhYtwjxnDq1nnklJQQEVTz3FuqOOonPxYmP8sevWkWe3c2V1Nfc98giOI4/kk48+ovy117BdeSV/+ctfSO42uUv+9VfkFSuQhw3D9fjjRqm2NnEiK045hZJvv6WkpASLyYTjt9+YUFhI44gR5MbEcHFqKjeeeSaxLS3YoqJQ7r5bH8CGDZheeQUA5d//Rjv7bMzAKaecwimnnIJj2jQ+BibffjvKpk1k19ej7b03Um0tWl4e1okTycvLo6CggOOOOw7byy9T9fjj5J9ySsC5czgcfPnll8yZM4f4+HjGjBlDQUHBbl8TERERRtfezs5OampqWLhwIU6nk4aGBtLT08PCpyQUGUgBI5aHQpT+8GkJZodj3xiCLRoGCz5h0nMpR1EUTCZTQMTE56ZcV1cHQFZWVpBH379IGzYgOZ36Mg0gdXWR8sorWP78E8f77+v9cEAvH37vPaNE2fTLL5g//ZTOxkbWTJhAycKFlJaW0tXVpdvfp6QQ8+qrDC8pIU9RqCkoQLNaOfa88/jrX/+qP0hVFdvdd+P+17+wPPQQsZKk9xx64w08V1wBskx0dDRHHXUU9qgoCl96icu//x5nZCTZBx/MPgsXsvfateT+/e8cfdRRRiKptGIFEXfcgefUU/FeeimYTNiAvysKypQplMXE8Oabb9JYXc3ImhoKli3j04ceoqS6mobHH0eSJOTGRmxVVQwdMYL8vDyOcTpJ3rgR7ZBD8D7+OOq++1JdXc2cOXP44YcfOGDlSs6ZPp2YlhY9yTYiAuWuu5AmTGDDEUdQNG8eJSUl1NTUgNOJ/PvvmEaO5K9VVSQfcAArEhJorqwkz2bjvAcfJCkpafNJqqzE5XbjHjJki/MXERHBUUcdRVpaGsuXL+fubtF00kkncf7555Oenr7b10h0dDT5+fnk5eXxxx9/0NraSnl5OXFxcUYJ9UBPjMH+QNdXbEvAJCQkYLfbd0vAiOWhEKWvl4dETkv47d+/Kaa/OPEJE19+SVRUFMnJydvsPbXHoGlYJ03C9fDDerXP7NkkLVyI1tmJY9YsQ7B0dXVR+dRTrM/L45ebb8a8ejXRublIkZFEAbl1deTn53PyyScT09WFZcoU1H33xbR0Ke6770bLzeX0cePofO895v/6KxMmTCAmJoaLPB5GyDLa22+z6txz+ernnzE98wxtP/yAsnEjfPYZNpuN3LQ09p02jeNPOYWou+9GtVr5/fffmTd7NqubmhhqtxMdHW10YDZ9/z2O116D7kleVVU2Ll1KWWEh64Da6mpMK1cS0dTEj14v02Njyf76a84991xuvPFGTLKM7e67cb3zDvLq1VjeegvvSSfp4mrmTN0BGMjIyOAf//gH8rx5/Gy1ctcll1BdW0v8gQcybJ99MF11FXJeHpnff28k2NrtdszjxsERR6Dl5KA+/jjYbJwCmO67j/XjxzNjxgyam5s59NBDOePAA4kZP57Se+9l5cqVLFmyhPLy8oDIckZGBvn5+Zxzzjn6eGSZqqoqZs+eTW1tLSNGjOC8884jLi5uty4XSZIwmUwMHz4cs9lMS0sL1dXVrF27lqSkJDIyMkhISBiUk+RA0JuAqa6uNgRMenr6TgtEsTwUoojloT1j/z5h0rOJn6qqmM1mQ5RER0eTmppKRETELguTYEbbBurYmz/+GO/ppyMvX47y3nusPPJIlsfGUl5ZiWfyZONhF+FyMby0lIK2Ng7OyuLz/fenuqaGQ9es4ZQ33yQyKsrYpvWOOyAqCi0jA1e3H4n5gw9wnn46Fd029Ol2O9VffcW4pUtpGDaMpIwMTk1JISEhgfOrqoh57z3d1t/jwfL668gLFqBcfjne7iaFMjD6qKM44dNPaZk5ky++/pqPH36YiI4O9vnLX2gZOpSqWbOM8yfLMjmFheTefDPnNjeTXVSE97770DIysEybxq+nnMLBBx/Md999xyOPPEJcWRljRo1ir0cfRcvLM5o4dtxzD2tOP90oefZ6vaAoWObMIS07m4uuvpq8449nw4YNfP/pp8hOJ6ddeeXmfBOHQ2+UWFSEd/p08IumSD//TMdee9GhaQwbNgxvRwffPvMMkzZtQo2NpWDiREaOHMlJJ53ExRdfvN0lyuzsbP7ZnXu0du1aJk2aRGtrK8OHD+fyyy/HZtu1Fou+SdB/glVVlcbGRiorK1m9erVRQh3b7cnTHwzWydhHTwHT3NxMTU0Na9eu3SkBEyyzu0FX8tzXiETcwbF/X2dhh8NBZ2cnTqeTVatWGcLEYrEYSzkxMTGkpqYSGRkp1tZ3EJfLxYYNG/QE2JUrWfrWWyRGR5OUk4Pl4IMZBhSsXcv+48ez3/7763/k9RJ5/vkoBx+M59Zb0dLSuBmwvPACS0aP5n/PP4/X6+W0Qw5h9AcfsMFmY80551C8ahW133+v29n/8QeccAJDN25khMPB31atIsVux71iBSQkUFpayscff0zZjz+SedBBHBcVhe2rrzD/9BOev/0Ned06vDfdhKZpNDQ06Lb6775LhdOJ+u9/I5eWYjngAKw5Ofw8ezbKqFEcPmwY55xzDtHR0Zh++gk5Jgb5u+/wHncc7qeeAknC+uCDuP/9b1i/HovFwumnn85f8/NZd801TKyoYI3ZTPSKFey9bh0xjY0kqSq5LhdHHHEEF154IbZly7A98ACeO+9EueIKQ0jk5uZywjff0PnWW3z588/MmTOH5A0buCA2liyHg+JHH6Xot98oLi6mtbUVVBXTvHlEnHsuBUVF7L1yJWe5XNjefx/TCy/geuIJPv3sM+bNm0dDQwNnn302Bx54YK8Tg6qqVFZWUlRURHFxMbW1tca9HBMTQ2trK08++SSKonDCCSdw9NFH7/b9I8syqamppKamoigK9d1+Mw6HA7vdTkZGBlF+wrYvCDXR0p/PSn+PnZ0VMKF2nPqKsBctNptNiJYw2b9PmPSMljidTkOYREVFERERgSzL5ObmBhiuDRTBPv67isfjoby8XBcmJSW0tLQA+nG3Wq3k5uaSn5/PcStXIp99NrNzcymqqCAjNZUzKitx3HYbHd2fkE3ff491yhQ8Z5+N94YbAH1SrPn9d8rLy1kXF4fmcmEqLGTKl18yvqGBtKOO4vy2Ns4++2zsdju2xx7D8/bb0NGBdfp0lJEj0S65BLWmBhISAMjLy+Pft95K07JlrMnL46Hjj6ctLY2hRx0FjzyCKyMD7fHHAd1wLz8jg2Obmhiang7HH6+XX0sSlmnTUF59FXW//Vi5ciUvvvgiztpaTvvpJ0aPHYvn0Uehu7nghjlzKHG5KHrtNYqKivjm668xrVhB3OrV5Iwdy00nnURubi51dXV8/OGHNP/8M2n/+hfHHnsskdXVWCdMQM3MRDnxRLyXX47/tKD+8AMbMjJYv2wZtT/9RERhIXUFBdxWWEi7pjF84kQuueQSrr32WuLj45GnTUObPBmpqAjpjz9Qr70WbZ99kKdMQb3+eswWC8cccwz77bcfQ4YM4bPPPmPmzJkoikJOTo4h6kEXENnZ2RQUFDBmzBjS0tJ6nbS8Xi/ff/89Dz30EDabjTPPPJODDz54uxPc9iZBk8lkeL14PB7q6upYvXo1Xq+X9PR0MjIydjnKszPjGGgGajzbEzAZGRkkJiYaAiYYx2kg9hf2okVEWvpn/7uKpmm43e5eK3J8k6d/qbDPzMr/k4KmadTV1em5CnsY2zv3Xq/XiJiUlpbS2NjI0qVLycrKIjMzk5ycHPLz8zniiCMCEzq7kRctQj75ZLxXXIHP9q30xx+Z+umnbKqt5YiMDKJKS3V3Wbeb8vp61G4bfUmSGPr77+Tcfjunr1tHNqBMm4b5gw/wnnkm9fHxfPjhh0yePJkDoqI4Ny6O6Bkz9N5F99+vJ8Xefz8N999PybJllJSUUFZWhue77+iqryfa6ST94os5bOhQNqxcSVNLC+nHH8+FF15IamoqUl0dEVddhfe00/DccovRS0iqqUFqaEDdbz8A9srOJqazk6LFi3ln77154P33scyZw1577UVWejp7LVjA0PHjOSYvj/o33mCfykqUSy5Bam7G8/e/G8dq6NCh/F90NN4pU1hcV8cL55+Px2zmuNtvZ+/PPmPtmWdSPHMm1dXV+j2jqpjnzWPIGWcwfOZMLj79dJL++1+kjg5MTz+N8uijlJSUMGfOHObNm8ehBQWctWABEWvWoJ57LqqvF1NtLe2bNrHO4aDovfdYuXIlra2tJCcnI0kSe+21FykpKRQVFdHV1cWwYcM4//zzjYqo7WE2mznuuOPIyclh5cqVTJw4kYqKCs444wzOO+888vPze/27nZkELRYLWVlZZGVl4XK5qKmpYdmyZciybJRQ72olXiiKloFehtmagFmzZg2JiYmkp6ejKMqAH6cBWdru9z30M2azuU9zWmRZDnr1UCgkA2/rGPg6C/dMfnU6nUZnYd9Sju8TgC96Ei4E8/grikJZWZkhTOrr643fmc1mhgwZQn5+PhdddBFJSUk4HA4+/fRTVq9eTUdHBwUFBb076no8WN5/H+eTT9LYvdRSXFTEphkzcB1xBNELF/K5w8FbaWlkL13KpXffzSVnnWVEusyzZyMlJSF/+y2eSy/FO3IkUkkJaBpafj4pwE033QQuFytOOolxmkZtRgap2dkkP/cc5sJC1Px8ol97jfz8fPYdNowxS5cSHRnJr889x8jjjjOGalu8GNdHH7GxtZV3Z82icd48DrdaOf2005D/9S8URaGqW7yVP/88mw4+GB55BHnVKqzNzQw95hhGHHYYD95/P0lJSbS1tfHZZ59R9N571Bx+OKPb2kh57DHqhgzB9fjj2MaNM5o5+mheu5byZcsoXrSI8qoqlJEjUW02Zv7vfzQ1N5Ph8XDZZZdxzTXXYLVakZ96Cnn//VFTUlBnzjRElenFF1G6jfby8/O58847Yf16Fl50EXfa7dQnJ5M0ezYp8+fr1Uvz5xNz6qkM37SJgw8+mNGjR9PV1cWIESN6vV5KS0uZOXMmTU1NHHLIIZx55plERkaiqipVVVXGclFNd14R6KIiLy+P4cOH8/zzzxMfH09jYyNz5szhtddeIzs7m/PPP580/+7V7NoHGpvNRk5ODjk5OXR1dVFTU0NhYSE2m42MjAzS0tJ2KpoaiqIl2L3q/AVMU1MTNTU1NDY2GtG33WmUGWpI23k4h3yMXFVVRo4cyc8//9wn2ysuLjYugGCxfv167HY78fHxQdm/x+NhxYoV7LvvvluUCrtcLkOY+KpyfF99KUwWLVrE4Ycf3ifb2llqampwu90M3ckeLzuDoihUVVUZwqS2tha3280ff/xBZmYmJ510Evn5+eTn55OSkrLDD5zy8nI++ugjWltbGTlyJHa7nfLycjZs2ID2xx+610pyMsnJyeTn57PXunUMKy/HlJDAxgsuoCsqimEtLbT//DPvR0dTVlbGiBEjGDNsGCn33YfnX//Ce+65IEm4XS42/vOfrDnzTEoqKmhra0MuLcW0YAGWI48k96yzyMnJoby8nOU//URKZSXnPf88Q7KyML//PvKqVUhNTbiee45FK1YY59s0fz5SWxues86ifvp0yv74g9X77MPyDz5gTbcYKygo4Mgjj2RERwcFkZGkDRuG5csv8Vx8Mephh2G77z5c990HfvkU0qZNWCZNYkNXF7Pr62nIySEqJoZTFYVyi4USWcblchmvT/vsMwqGDiVn7FiGdndnxu3WTfKefJLGpiY++OADilevZu8NG7jM6STh44/1LtPdqCtWUPHxx6w/8kiKiopoqKjAVFiI5vFgtdvJu/hihg0bRkVFBUuWLCGmqYnzhg1j77vuMrZRX19PS0sLw4cP7/WcNzQ0UFRUxPr161mwYAHr169HURRyc3MZPXo0e+21F8OHD8dut+/wdVRRUcGcOXOoq6ujoKCA8847jzVr1jBq1Kg+m/w6Ojqorq6mrq5up2zu3W43y5cvD9rzoSehNh4fixcvJiMjg+bmZpqbm40ITH8KGFVVsdlsfTUP9DrIsI+09PXBD/bSjG8MAxHt0TQNp9O5xVKO72fr1683BElSUhJZWVlEREQMGsW+LfriGlBVlY0bNxo5Jv6fdH2fgPLz8zn77LON/IOGhgamT5/O2rVr8Xq97Lvvvts83m1tbcb2y8rKjEnXbDYzf/58mpqayMrK4rpTT2U/i0VPPtXfIKaPPsI6ezauqVNx7703am0tdHZimTWL6Kee4lqTCW99PT//5z/c+fDDbMrPx/7llwxZsULvo1RcTE5eHnlDhvDX9HRSP/oI5aSTkIcPxz1unDHGkYccwmULF7Jp4kTmTJzIxt9/Z+/TTuO8gw4iKiGBxs5OVq1aRVFRERVlZUjz5qGOGIH8/POkjh5N3tVXc/qff3Ltyy/D4YfjcrmYO3cuhQsW0PbTT+QddBBySore2FGSMH37Ld7Row3B4nK5KF+1ioqxY1mXkUHrwQdDcjJWTWP10qWsKy4m7q9/5aKLLmL06NGYFi7E+tJLqGefjWPcOLq6umhqaqKrq4u4GTOoGTWKjkWLsEgSFzQ3Ey1JFKoqN8XH03j++aSkpDBixAjMZjOW774j+7rrKLBY+FtLC8mxsajvvovpiSdQut19AQ477DDOP/dcOm+/nY/sdt68/37S09O54IILMJlMdHV18eeff1JUVERJSQlOp9M4vsnJyQwfPpyjjz6ayy+/HLPZjKIozJ8/nx9//JHq6mpiYmKw2+3bvFZ9SbxFRUVGEq/VauXPP/+krKyMiooKmpqaOOWUU/rE3j8mJobhw4dTUFBAa2urUeKbmJho5Gf0du0HO7LRG6E2Hh9JSUlkZmaiqmrAElJSUhJ2uz0sIzBhH2nRNI1DDjmkzyItpaWlxMXFkeJz/gwCfRnt8XUW9s8t8UVMJEnaImISFRWF2Wxm+fLlHHrooX3wbnaNYEZaamtrcTqd5OTkbPe1qqpSXV1tREw2bdqEpmlUVVVRVVXFCSecwGGHHUZ+fj4ZGRnbfUA4HA6Ki4s54IADKCoq4qOPPqKtrY29996b6O7Ih8PhAPQHZWxsrBGR8SUu96SluZlPr7yS4gMPZO/992fMXnuR8P77SHV1uJ5+GiU5maqqKgoLC9n03nu0pqVBWhry8uWYOzrIPuQQRkRFkX3jjSxdupTff/+dhIgILq2tJfPee7FMmYKWlYXnqquwPfwwrnHjNhvTAebPP6dt40bKFi1ifXIyxcnJbNywgaJ58/AMHcrBBx/MkCFDOPPMMymYMQNLczPKCSfgPf98kCSkxkYskybhfuABY5tSQwMR119Pzf77805mJlXV1aSlpTEsO5vaV1+lZtQo3wkiau1a8uvqGHb00eTecUeAZ0nDP/5B8kMP0Ww2883rr7Ni9mwi09M5z2Si6847MfmV06tVVTS+8w5Fo0ez8fvvUUpLUfbfH9nrJUuWybnoImJjY1mzZg0LFy4kbuNGzjrhBI5OSMC0fj3KDTfAsGHIr72GdtBBaCNHBpwnZdo0yux2iiwWXcBVVLBmzRpaWlpITk7msssu48ADDyQvL2+rTQ17o6uriy+++ILly5djs9nYb7/96OjooKKiAkVRAD2JNjs7m+HDhzN8+HA9h6jHtfrrr78iSRLffvstmqZx4oknMnr06D5d9vUtb1RXVxt5PBkZGcTFxRnj8VUWBvP55E+ojcfHokWLOOigg7YQmP4Cprm5maSkJNLT07cqEneGgYi0CNHSg7KyMqKjo7dYyx1ISkpKSEhI2OHEOn9h4h8x8QmTiIgI48Hr++7fWbi37S1ZsoTDDjusL9/WThFM0VJXV0dXVxe5ubmAfo3V1tYaEY2qqiojEiNJEhkZGeTl5ZGfn09mZqZxwzY2NvLhhx9SWVmpm4WdccZWP6E6HA7KyspYs2YNixYtMhxeQXc+bW9vN0L1l19++U65nZo//hg1NpZNdjvzH36YT6uqaJYk8mNjyegue83KyiJFkth3wQLyzjoLy/z5eK66CnWvvfR8j6efNqICAO333MPs0lIqW1vZ65JLOOeyyzDPn0/phg2sy8qitLSUzs5OaGvD8tlnRB90EMMuuYSCffclNzeX2BdewHPFFbhTU/nuu+/45N132be6mottNtJnzwY/8WV9+GHct92GlpBAdXk5G158kaLiYja53Xj/+ldAn3RNJhNVX31F1D77cMYll3Csw4F1/nw8F1+M+f33aX3wQRzdjS67urqQly1DXrqU1hNPZNjnnyMnJ9N44YVUTJ3K+/X1lDQ2EhcXx1577YXNZiPl99/JO+kk9l67luwxY5BPOw28XiLuvRf1f/8LaIXQUVODev31fNHVxa/JyaTsvz9/+9vfGJ6cTM2jj7L2nHMoLi6murpav47Wr8dSXs6Qm282og++Dy11dXUUFhaybNkyurq6OOaYYzjhhBO26kPU1dVFcXFxr1GZiO7eRR6PhwMOOIALL7xwh58zv/32G0cddRSaplFeXs7777/PL7/8wpAhQ7j55pvZf//9+/RTu6qq1NfXU11dTVdXF2lpaWRkZCDLMmvWrGFkD9EXLBwOR0iNx8fChQs55JBDtpnwrKqqkQPT0tKy2wJGVdW+jMYPzuUh0CeVvgoZhkISbG9LVKqqbhEtcTgcuN1uPVTvl1uSlpZGZGTkNoXJzu5/sKNpGvX19ZSUlLB06VI2bNhgfLpbuHAhycnJnH/++Rx33HFkZWXtUOJgcnIyN954I5qmsWTJEh577DE6OzsZMWIELpeLtrY247UREREMGzaMoUOHkpWVxV/+8pdet1lbW2u4nR555JGceuqpxkNJ0zQaGxspLi6mpKSEiooKVIcD8y+/oMXHk2E2k3v11Tyz//5kPf88nx9/PIsWLyYtLY1TTz2VtHvuwdPd9NH15JN6KfGUKXiuv94QLG6Xi40PPkjpL7/QdfLJmMxmflu+nJnvvYe5ooJjrr2WU3NzOfHoo0n84APMv/6K84MP0LorewDk1avREhLQMjOxuN2cU1HB4dHRRAwbxjsHH8z6Bx4gPj6ezMxM6pcsQW1qQn35ZeQ1a8jq6GDY3/7G6R4PyU8+iexfYVZSgmyx0HzYYfz23//yf5IEeXlcNG0a0aecglpcbEQS21tbaXrnHQq7umDpUpRDDwVJIvK999irtZWb//Mf8vLyqKqq4uOPP6arsJC9nU6OS06GSZOMHkWW11/Hc801mPzuM+nPP9H+8Q/WnXQSSn4+8WvXsmnTJm688Ua8ZWUMPewwLmlr48wzzySzsRHTG28gqSrejz+GXiK8mqYxYsQIzjjjDFRV5eeff+ahhx6iq6uL/Px8FEWhubnZeH1UVBQFBQXstddenHHGGVuNypSVlfH666/T1NTEQQcdxJlnnhngqdLa2mrkypSXl1NeXs53330HQGZmJqNGjeKqq64iNjaWL774gvfee4/k5GTGjBljCP7dQZZl7HY7drsdr9dLXV0da9euxeVyGR/UeossDjShuFwFOzYuWZZJSUkhJSXFEDCbNm1i9erVfRqB6UvCPtICcNBBB/Hzzz/3yYGtqKjAarX2Sd+OnUVRFJxOJ2VlZciybKxlezweZFkmIiJii6Wc/ugsrGkahYWFQU0s649Ii29SLykpobi4mMrKyoCywNTUVPLy8khMTCQuLi6g+VxxcTEfffQRDoeD0047jSOOOKLX497TK6Wpqcl4ndVqJTMzkw0bNtDS0sKBBx7ImDFjAqIqTqeT9evXc+CBB271fTQ3N1NcXMw333zDL7/8ElAGm5ycTEFBAfn5+QwZMoTom26CuDjct9yC1v1+LJMnoxx/POreewNQu2oVc268kY0eD8P+/nf+dtVV1NTUUPL775TPmUN191ikTZuIWLuWYYrC0GefJd+vSsn6v//Rec45zF29msJ33yW1oYELL7+cbJdLb8j4/+y9dZQcZdr+/2kfd5/JuEYnrsSFuBsBNsjCsqzAorvAIi8suwsLrMCLBIInJJko8Yl7JjLJuLu7dE97/f7oqaI7mSSTEGB/75frHM7JIZOqnuqqeu7nvi8RYbWieeYZGv/4R0q//JKSo0cpiI2lNisL78BArJGR+Pr6olaryc/NxfXMGaauXMmEoiKsS5ZgGTUK2c6d6I1GWkaP/q6zqNMR/+abWL28sMTE0Ll4Me06HUWnT7Nr7VqKXVzw9vYmISEBN1dXYk+cIE6lQrtoEWPuuUf6eOo//xnjU0+B6Oja2or6vfeQHTpE6lNPcej0aVQqFXPnziXW05Pyf/yDnEmTbGO7ujrk58+DWo23hwexDz5IXFwcERERKJVKrOfPoz16lKPx8RzauhV5RgYjBg9m7t1345ybi/WBB666X+vq6jh79iw5OTkSCR5snaXg4GAaGhpoaGggJCSExYsX33SxYDQaKSoqYv/+/ezdu5euri5J6ePt7S2NiyIjI0lLS2PMmDHXPV5jYyNbtmyhrKyM8PBwFi5ciL+//019phuhtbWV7OxsqdMkSqhvB8/mVqDVaikoKCA5OfknOf+1cOrUKUaOHHlLo5pb7cD8GJ2W/xNFS3JyMkePHr0tF6qiokKKY/8hYLFYeszJEQsTZ2dnDAYDrq6ukofJD1GY3Ag/5Xjm+55fLEzEboPZbEYmk1FfX09xcTHjx49nwYIFREZG9thib2hooLOzk6ioqKv+zmQysXPnTg4ePIhCoaBPnz5otVrp+1GpVISHh0s8k+u13vPz89m8eTNGo5GZM2cybNgwDAYD+fn5REdHS79DcXGxRLAVBAEvLy9iYmKIjY0lIiICo9HI1q1byc/PJy4ujgULFuDu7o783DkUZ89i+vWvpXPKystRbdyI4Q9/oKasjNJ//YvCsjJqGhtpHTOGyspKGhoa8Pb2ZpFez8R33sFfJkPz0UdY+vZF1tGBZcwYrKJrLiDPz0exfz+WsWNRrVuHecYMavr2ZdM995AZE4NPt02/wWBAlpEBgoBHSwvRkycTvWABkX5+6J59Fp81a6RjWiwWFK+8gqm4mO2+vhwym9FoNEwcOZLxe/dS/eST0rNSW1JC7ZtvUq7XY5g8Gbo7jKGhoSQdOkT4iy8SFBVFcXEx2/75TzrPnWOcry/jt2zh4sWL36mWjh1D1tBg49IYjag+/RRLTQ1lOh25SUkU6HS0tLRgMpnIz8+nNT2diNGjuWvJEsZduoSLqyuWhx5C8dJLWF5/HewXUUFA8eSTWJ5/HsVHH2ERBMpmz+bwuXNkvP029QMHEh0T4xAAK5PJpNC8wMDA6/JH7IuFyMhIFi9eLBWUgiBQVVUlkWwlXxm+kz7Hx8cTGxuLi4sLR44c4fDhw6hUKmbPns3gwYORyWTSeKgn6PV6ioqKpHPodDpaW1upq6sjKiqK/v37M3fuXIcC/VbR2dlJUVERgwYNQq/XU1NTQ21tLWq1WpJQ/5jZYvaf578JJ0+evC1qrysLGF9fX4KCgnrMmvq5aOklbmfRUllZKb3wbhUWi+UqqXBXVxdms1kqTOz5JWJhIqKsrAwnJ6frsv1/aPy3Fy0tLS3Sol5WVobJZJJ2oT4+PlLREBER4XBtrVarpKrw9/dn2bJlV13nxsZGWltbUavV0jnq6uqkvxeLFXd3dy5fvozRaGTKlCnccccdN7Wr6erqori4mLy8PPbs2SPxqQIDA+nbty/R0dHExsYSGRnZa+KlWAgZurqYXVhIxFtvUVxaSmFhIeXl5TaPlTvuQFFSQmhrK1ErV5KQk4P/Aw/Q4OwscXkMKSlsOX2a/IwMInx9mf/GG3gDqi++wPjMM9L5zCYTtfffTwGQr1JRHxmJTC5HnpGBOjiYyHHjMJvNZGdno25pYWFaGgN/8xssK1dilcnQ6/Wo//Y30ocOxT0hAZ1Oh9DURNTXX+NeVUXlP/+JVa2mrq6OnJwc9r/3Ho0uLvgEB5MQH09YVRXxBgNxGg2BH37osFgp9u0DsxnLrFnICgpQr12LZfhwuHSJQ8OHc+j8eRoaGnj44Yfx8/Sk7E9/ImfyZGoOHUJeVYUlORmFRkNUeTmRv/udQxEqP3MGeX4+NXV1pBw7Rl18PAPHjGG+TIazjw/C1KkO34v5k08oPXOGgs5O8hISaBM5UVlZOPn54da/P2VlZTQ3NxMSEsJdd91FQnf6dm1tLTqdjujo6Ot+9+I45/jx4+zfvx+dTkdwcDCxsbGEh4cTHx9PXFwcQUFBvXpXdnV1sWvXLi5evIi3tzd9+vRh9OjR5OfnOyiMwObFEhMTI/Fx7I0hBUEgMzOT7du309XVxdixY5k6deotm8t1dHRQUlJyVTdSq9VKEmoXFxdCQkLw8/P7wf2hrvV5fmpcr8i8VYhZU7W1tRJR2r6A+blo6SVuZ9FSVVWFIAiEhYVd9+fMZvNVRYlOp5OShe1HOOKfe/uQ/pQjKhH/DUVLfHy8VDSUlpY6eGhcunQJX19f7r33XoYNG3ZLreG6ujrWrFlDYWEhAQEBkqpEHMn1799fKn6u53FhsVg4ePAgx44dw8/Pj2XLlknfndFolMZFhYWFV/FYRAJvdHQ0bm5uFBcX8/777+Ps7MyECROYOHHiDV+6ra2tDtfJZDJBWhoFcjlNJhNRUVHcc889DK+sRFVXh7y4GPOcOVjGj0eek4PiyBFMv/rVdwRkb2+cV6/GMmgQpoceorCri88++4yaXbvwnTABN9G4zmTCae9ewn18iHjqKWIHDrTloDQ3S2ofQRAwNTej+N//xXLoEGunTOFieTmenp5MnjyZWL0e3+xsLo0Zg5taTf2XX1JcUUFHWxvmCROQaTS4urraFkSViricHBSPP07Bp5+y48sv6YyPZ6pMxuhnn0XWnewMgF6P5qWXMD75pE3d5OdHw6JFlOzfT9Hp0xSFhUnuwh0dHejz84kNC+N+X1/6rl6NMH48AJrnn8fwxz+CPXfGbMZp+XKEhARMv/gFJCWhUCi4dOYM6//wB2q6PVFcXV1t98zly2guXCDyN78hdsIEYmNjbR5M7e2SUy4gOZvm5+fz7bff0tTUREJCAlOmTMHV1ZXo6GgMBgMlJSVSR6Ojo0O6Lz09PR3GOUqlknPnzrF7924sFgvTpk1jzJgxN7yf2trapMJETJXW6XScPn0aDw8PEhMTue+++0hMTLzpd67VauXEiRNs3ryZlpYW7r333l7d4/a4UZEgCALt7e3U1NTQ2NgoGVz+UPLe9vZ2ysvL6W/XffxvwA9RtNijpwImJCSkR+XZLeL/dtFy5MiR21JR19TUYDab6dOnj/SwXjnKEQuTK/klzs7Ot6Ut+UOPqHqDH6toaW9vp7i4WPIZ0ev1yGQyqqurSUxMdOiYXEm6a2xsZP369dTV1UmKiisJsmIkgL3yx94DJyQkhKioKBoaGsjIyMDX15dp06ZJO8fewGw2U15eTmFhIenp6Zw4cQKtVkufPn1ISEiQCpOYmBi8ujN3rgWDwUBubi4DBgzgyJEjHDlyBE9PT2bPno3BYJB+D3tFiMi/EWXPmtpaVBs2YHzyScC2U9/03ns0rVvHyIULmfLKK6icnGz8kqefxvDXvyIoFOTl5VGakkLHhg0UDx+OKTJSevmEtbYS5etLbXQ0WZmZeJeWsszFhUhXV4z/+IeUKaXT6fD8298oW76cTpmMoL17ca+rwzh4MGqDgbI77qCmpoaMjAyOHTuGISeHoFGjCGppYbRGQ+QvfkGcTIYnYJ471/6LRPPMM5juugvV+vWYJ07EMmMGQm4uRz74gMNeXri7uzNr1iwASv7xDwpratAJgo1k6+SEp7s7iceOEfHaa0RGRaFSqUhLS2Ok2YzmxRcpWbyYjXo9DU1NDB06lNkuLjhptZgXLJA+huL0aXQvv0zWqFHkxcdTVlYmpenKT54kaPJkYoYPp7q6mpz9+/EsLWVRYCAx//oXXNHRU/zlL1juvx+u2JwIgkBFRQVnz57l6NGjpKWlYTKZiI6Opn///pJZXFxcXK/TlE0mE6mpqZw4cQJXV1fmzJlj4w11FycdHR3Sz3p6ehIfH098fLxDp1JcBEtLS9myZQtNTU0MHDiQOXPm9BiK2NHRIRF5i4uLHcZe4nPX2dlJWloaLi4uzJ8/n352hO1rob29nbKyMgYMGHDDnxULwZqaGlpaWiQJtaen520rYNra2qisrOzVZ/8x8UMXLfYQCxiA0NDQn4uWG2H48OHs3r37lsK4xGRhsShpbm7GYDCgVCpRdns0XNkx+aHnpZWVlcjlckJCQn7Q81wPt7No6ezsdChMRJ8RkWjY1NTEjBkzWLJkidRWvpnzWywWdu7cyY4dOzAajfTp08dhnBIQECAVDWFhYddV/jQ2NrJ27VrKy8uZPXs206ZNQ6FQSEZxojJHNIqTyWTSuCg2NtZBqnrixAlSU1Nxd3dn6dKlN3TYNRqNFBQUcPjwYaxWK+3t7QiCIHm3yOVyxowZwz333HPt4kcQ0PzxjxhefBGcnUGrRf3hhygOHqTr7bc5UFZGSkoKnZ2dhLa14R4WhhASgqy5Ge+MDEJCQxmakEDQk09+d593daF5+WW0r76K5cABlNu3UzB2LPs//ZSs4GAiEhOZNGkS3t7e+GZnoy0tpdxqpfzwYcqjo7H6+aE8cADL9OkO1ylo3z4wGjl36BCfd3biP2wYc6dPZ9imTTZLfbsXn/Ljj1GePIll/Hj0K1ZQUVNDYUEBpW+/Te2oUcgUCvR6PYUFBVBczBCtlnvXriVwxAjpGKrPPsMycCDWwYNt311TEw1//jN9ysvpWrtWUu4IgsCpo0dJeeYZ6rs9S3wEAeXlywi+vngbDEQ+8ojEKdJoNCjLylDs2IHlsceQ5eXZvFiGDaM1LIwt779PQVgYERERLF682Lbjz82lfedOcsePd+hoiAgJCZHGOUajkcbGRjIyMjhz5gzOzs7MmzeP8ePHX3ejJggCNTU1UuFQXV0N2ArjwsJCzGYz8fHxPPDAA9d027XHlYugIAhcvHiRr776itraWry9vR3GMaJ5XHx8PFFRUdfthnZ0dLBjxw6ys7Px8/Nj0aJF13xe2traqKiouOnOhriw1tTU0NHRIUmovy/PRiyK+vbt+72Oc7vxYxYt8J2K92Y8hG6A/7tFy5gxY0hJSenx5hOThXsiv1qtVpRKpQO/RKfTYbVaeyRh/lioqqoC+F68mu+Lmy1aOjs7KSkpobi4mOLiYnQ6HWC7/mJrOyYmhqioqKuCEK1WKwcOHODYsWMEBgayYsUKiouLrzp/c3PzVTwWEaItvZeXF6dOnaKxsZEJEyYwefLkXnfgBEGgtraWCxcukJWVJRVaGo2GAQMGkJSU1Ktx0ZVoaWlh48aNVFRUMHjwYPp38xeKioqk3QnY1EVhYWHIZDJmzpx5VYyDIAicP3+eXbt2oVarWbhwocR7EKHcvp0upZLCiAiKP/uM4owMOoODkXV2Yhk0SDKjC3ZyIuO99yiMiqJvRQWLxo6lfeFC3F99Fcsbb6DrzpbS6XT4fvQRLQkJBJw+jX7IEPSzZ6NIT6cuPZ3CpCTOnj1LdnY2gtVKQm0tg/r0IWb8eKJXrCCsTx80H36IZcIErElJ0ueUXbqE0+OPY3roIczLlpF2/jz9+vVj129+w2U3N8L692fChAk0VVZSsmYNVZcuYVy8GDQaFAoF4eHhJFRUEDNgAF6zZtmKxyNHUO7ciayhgYwnnmDr7t1otVomTpzIhH790HzwAcbnn4euLlQff4y1vZ0jej1mlYq8gACHjCeX9HQiJ04kPCGB8rVrudzZifeECayoqSHwuefALttJLpej+dOfsPzmNyg+/hghOBjrffeBWo3l8ccpePBBCkpKOHPmDOfPn6erq4s+jY0k33svSf37S+Oca42Pq6urMRqNREZG0tnZSVlZGXv37pXiPubPn49MJqOgoMCBtC16CMXGxhIfH09ISMhV92xVVRUpKSnU19fTt29f5s2b1+N7tLGxkc2bN6NWq6moqHBQMYkhnQ0NDZw7dw6VSsWsWbMYMmRIr58RMScpPz+fCxcucPz4cdzd3Zk4ceJVYZCtra1UVVV9r86GxWKhvr6empoaDAYDgYGBBAcH39KCKxq1Jdnd3/8N+LlouY3Ys2cPv//977FYLDz44IM8a2f5fSsYP348b775JlVVVWg0GkJDQ9HpdOj1eqxWKyqV6qpRjpOTU4877vr6erRa7U9atFRXV2O1Wm/Iq/kh0VPRIhqgiYqWzs5OwHazms1mcnNz6devHw899NAtk4hzc3NZs2YNGRkZxMfHS/b2wFWqmevt3KxWK0eOHOHQoUP4+fmxfPlyAgMDr5I9l5eXO4yLgoKCCAgIwNvbW5r/NzU1sXHjRqqqqhg1ahQzZsy4brdNdMkVuzKigZg4qqqtrSUgIIB7772X4cOHO7zYjUYj2dnZN5RPtra28sknn3Dx4kVUKhVhYWGoBQHlqVOo+/YltqKCqCVLiJw1C7/XXnMwhxMEAcWzz2Lw8MDS3s7RYcPYdeIEiowMho0bR//ujpdCoaDp0CHqP/qIvLAwOvr2tfmTWK34HD9O5O9+R2x8vG0k1dqK/IEH2O7tzdnwcAJDQli6dCkBRiOqr77C+PTT4gdH/cEHKI4fp+v992l3d6eoqIh9+/Yhb23FnJWFZcQI2lpbqTx1CmeDgWmhoSz5979R2e+829tRv/kmxldeQZ6ba+uijBmDIJfbioVp0wDb6G7Hjh3s+etf0UZEEGIw4KPVYklORubpie+BAwz8y1+IjYuTMp5k1dWo1q5F8PBAptNhfOgh8Pamcf9+tnzzDRUhISQlJTFv3jxcXV1RbtlC/Y4d5Lu4kNu3L7XdvCVZTg4qDw+iJk+W1DnuTk7IX3iBU2Fh7G5sBGD27NkMGzbsmgt8VVUVXV1dUmGSn59Pa2ur1BkuKSlBpVKRnJzMr3/961ve7Jw/f56vvvqKqqoqiQciFvx+fn6YTCbmz59PeHj4dTcCXV1d7N69mwsXLuDl5cXChQulUWtHRwf5+fnSyEjsLoniB3EsJT73xcXFbNmyRfKSmTNnDgaD4bZ2NkwmE3V1ddTU1GC1WgkKCiIoKKjXnfumpiYaGhpI7LYQ+G/BT1G0ALfTO+e/o2ixWCzEx8ezf/9+wsLCGD58OOvWrev1DZiZmUlaWprk+Cju7qOiooiKimLmzJlMmjRJKlBulufS2NhIe3v7DZn6PyTseTU/NkTexL59+1AoFBJxVBAEyQBNJI7a26GLKCgoICUlBbPZzKJFi3r8Xu3HRcXFxdILGZA6AR0dHTg5OXH+/HnCw8NZunTpDfkg9rBXF2VlZUluopGRkQwZMoS4uDhiYmIIDw+/qgBpbm6mqanpqpa5IAicPn2affv24ezszLRp0ySpZ0VFhVT8iDN7scDqSa3R0dHBli1bKCwspG/fvsyfPx9nZ2dMJhOZmZkMHjzYofixd08FpG6D6CVz6NAhLHv2MDcsjMHz52NevBijyYT8/fdpHziQlj59bPENej0RX36Jd24utU89hZCQYDOUys6m4IsvOObqSmtrK24uLgyVyRhSWkr4228TNWKEtANXffghlnHjsPbta+tarFmDrKYGXF0xPvccYLuHN23aRHNKCsmPPEJsQgIVn35KYWEhbf7+yLq6sPbvj7u7O7GxsXTpdCw5exZefRXFsWMo9+/HtHIlVoWC0199xT4XFzQaDQsWLCAhIQH1669jnjsX5ebNCMHBtC5ZQlFBAWVvvEHeyJEOnB9/rZbEqioClUpOhYVRgi1teWlTEyWRkfRbtOi7L8ZiwXnZMixxcZgeeQRBjHKwWNA//jhZ995LQWEhaWlp5GRnY62uJqa1lRGPP07CqFHfqXO0Whtn5S9/EW8e5Nu2ITtyBDo6sHTLuw0GA7t27eLcuXP4+PgwZcoUyfdD7GiIfJNBgwZJIyP7FG+xa3DhwgX279+PxWJh7Nix0j115T1cVVVFfn7+VcnPIo8rNjaW2tpaTp48iUqlYs6cOSQnJ3Pq1KleLYIWi4XS0lIKCgpIT0/n9OnTtLa24uHhwbBhwxg8eHCvRkZXfu5Lly7x7bff0traSmxsLA8++OBtH9Xr9Xpqa2upra2VeIWBgYHXPU9jY6NEmv5vws9Fy23CqVOneOmll9i7dy8Ar3fHwf/xj3/s1b9PSUmhsrJSktZFRkYyf/583nrrrdvSmWhqaqK1tbXXJMwfAj90yrC9oqWoqIi2tjbphlOr1Vy8eBGlUslzzz13y7uH5uZm1qxZw8WLF3F2dnYoDuzHRdHR0T2S+Ow7PaJleFdXF3PmzJHazqI/glj82C9UYldGJKeq1WpJ7nz06FFJ7txTXENLSwuNjY3ExcXR2toqdUzsR1J6vd6WnCwITJw4kVWrVt3SwyoIAsePH2fdunU0NzcTGBiIxWKRCp2QkBCJZNtTdpE4+rScOYPyyy/5bNAgLuXk4Ofnx7xhw+h35gxtv/0tHR0d1B0/TsXWrVTX1WFeuBD4rvjpe+gQbr/+NUovL+Kys6nbt4/1VVXUe3szavFipk2bhlKpRFZVZeucPPkkyk2bUGRkYHzgAZTvv0/R/fdTWFlJYWEh9fX1yIuLEcxm6traaCotJSA5mbsffZQxmzZJ4YYiSt5+mzhPTxT5+ZgnTMBy550S+dbw+uugVNLS0sLatWtJP3gQRUEB4RERqEaOhO78rMTsbKLuuovI0aOlxVqemYnTr36F8emnbcTe7nMWHj/OjjfeIDcoiOXLlzNh/HjUhw4hrF1LQUQEuePGUVhYKHUTFZcv4x4VRfSECcTFxRGdnY3zyZOYBIF9AwdysqgIDw8PFi9eTExMDIq//Q3LqlUQFobs5EnkmzZhnTsX+fnzdM6bR6HBQEFBAYWFhdJ9q9VqqaioQCaTMWzYMO6//348PT2prKzEYrH0KgvLaDRSXV3N3r17OXDgAF1dXQQHBzuQI0W+THx8/A3HnF1dXezcuZP09HTa29v5wx/+IBnYNTc3S10TkZBsf0+J5xA5XmVlZWzevJnGxkYGDBjA3LlzrxoVX/lsNDQ0kJeXR35+vqTs1Gq1lJWVERcXh1Kp5M4772TkyJG3XRmk0+moqamhrq4OZ2dngoOD8ff3v6pD39DQQEtLC/Hx8bf1/N8XPxcttwmbNm1iz549rOneaXzxxRecOXOG//znP7d8zHnz5vHqq6/elpFOc3Mzzc3NDm6oPzZuJrDvWjCZTJSUlEjjnObmZunv1Gq1NIeOiYlx2LWJSE1NJTc3l7q6OqZOncr48eOveikYDAaH4qcnW/qYmBh0Oh2pqaloNBqWLVvWK9dOsWixH0nl5eWRnp5OTU0NPj4+DBs2jKSkJGJjY4mKirqpWWptbS0bNmygqamJ0aNHExwcLPFxWltb0el0+Pj44Onped2RlCAIpKWlsXv3bpydnVmyZEmPXToxjbmwsPAq+bafnx8xMTGEhoZy/vx5jh07xpgxY1i8eDHu7u6SIaGozhF5WRaLxcbJUquJ/s9/KHv8cWrr66moqCAjI4PsbdvQBQURFRzM6M5O4gYMIE6pJODuu5HZ3d+KQ4eQtbXR5OGB04YNuCxfjmXgQNTvvovhhRc4efIkqampODs7Mz0vD+PgwRTv20dJnz5YgoORFxYiVygI6ZbzxsbG4u/mhvPvfofg44P5zjuxTJ5MZ2cn3z7+ODkqFVEjRrBo0SJbVEJREZaVK9E88gjGu++mrjuKoPirr6iUyRBCQ20jLbmc6Opqkk6exPLKKxzIzaWzs5Px48czMSQETWoqpt/8BgBZbS2qDz9EXlaG8Te/kci34nfW+PjjZM+cyb6jR2nIz6f80iWUPj4MlMsZ/PjjUifO3d0dmppQd0u45WlpqDZuxHznnVhjYlBt2YL5D39AqVTS2tpKSkoKxefOEdPWxoiVK6n/6ivy3NyoDwtD1taGPC8PzaRJxMTEEB8fT0xMTI/3bW5uLlu2bEGr1dKvXz9Gjhx51X0lSrbtR0Yi3NzcCAsLw83NjczMTIqLiwkMDGTlypU3tRExmUwUFxeTn5/Pjh07qKuro62tDS8vL0aNGkVycrLEyelNtIV4/TMyMtixYwddXV2MHj2aPn36SOcRifpgI9GLZN6wsDDkcrlDZ8NgMLBv3z7OnDmDm5sb8+fP/0G4JR0dHVRXV9PY2Ii7uzvBwcH4+voil8upr6+nra2tV2TmHxM/Fy23CRs3bmTv3r0ORcvZs2f597//fcvHXLx4Mc8999xtuWnsd9k/Fa4M7LsWRKmtWDQ0ds/IweZ0mZeXh7OzM/fdd99Nhx+KRYPBYGDdunVS5khERIT0klWr1Q7johuNb9ra2ti4cSNlZWWMHj2aGTNmoFAoMBqNlJWVSR2NtrY2qqqqCAkJwdnZ2eEcosSzoKCATZs2YTabWbBgwQ3lj6K/hVg42PNxRDlkTEwMv/zlL/Hw8KC+vv6md06i70tmZiaurq6Eh4dLL3JxDCLJkq+Yl4tZKh0dHRQXF9PR0cGuXbvQ6/WMHTuWIUOGSB2puro6qqqqKC0tpaurC8WFC1j79MGrexGMjY0lOjsbldWKrKiIg4WFHPDywluhYIVGQ5BdWjJ6PZonnkDw9aU9KIjqadMICA6m/JlnyBkxguL6eqnAMp0/T2V2NpawMIbMn8/q1avxUCjQ/OUvGF57TTqkrLISp4cewjx9Oqbf/lbK6ZHV1NjM6Z5+mvT0dD7/+GNqT5/Gt7UV2fDhBHSPEoOCgogNDCTp8GH833jDFmlx8CDKPXtsNv1Tp2LtVgVZLBaOHjnC8ZdfxmnmTBbNnk1SaipYLDROm0bpmjVkjx1LWVmZxJ9QlJUR4upKzB134LN1K/2nTsVy1110/fvfbDKZKOh2Q164cCFeXl6o/+d/MM2ZgzolBUv//piXLQO5HM1zz1Hz6KMUV1dLnTir1Yp81y5agGqrFaekJGbOns3ChQtxev55LC+/7BAGeSNYLBY+/fRT9u3bh9VqJTg4WEqgF0mw4qLe0+YDHP1fdu7cSVNTE/Hx8dx1110EBARIXCuxa1JZWSn9W5VKRVRUFPHx8TQ3NzOtmytUVFTE5s2baWtrY/jw4dx5553X5YCIJHfxHKKSSRyBtrS0EBAQwIoVKxg3btx1uyYNDQ00NzdfNY5pa2vjs88+Iy0tjcDAQB577LHbzgsUBIHW1lZqampobm7Gx8cHjUaD1Wr9uWj5v1q0fN/xUE9YsWIFjz/++G0hZrW1tVFbW/uTziftbeQtFgtlZWXSgltfXy/9nFKplCSk0dHREpHQHp2dnWzcuJGioiLGjBkjFQr2sFgsDsWPmKwaHBzsYEuv0WjYu3cver2eBQsW3JQDpH2BVVhYyKVLlyguLsbJyYnk5GQHIzcvL69eq5f0ej1bt24lMzOThIQEhgwZQmVlpUN3SSaTodFoiIyMlK5VT3yc2tpavvnmG2pqahgwYAArV668ihNlMpkcCiz73a1oFhcdHU1HRwcHDx5ErVazePFi4uLiEAQBg8Hg0C3R6XRSGrezszMajYa6ujpcXV0lifWFCxeorq7Gw8ODIUOGMGDAAKmIc21uRrVunS0vR0R7u80crn9/TA8+iBAeDoJAx+9+x1eJiVTV1pKcnExSRAQ1jz9OnocHzUOH0mWxYDAYCDObidNoiF69mqioKJx0OtT/+Q+K06fp2rwZnJzIzs5m69atWI8d487f/Y6hd96JrLMT9YcfQnMzgo8P2t/+ltJuN97CwkJ027djHjMGVCo8CwuJt1iImDKF8vR0UvR6kpKSWLx4MX369EH9P/+D8de/Rl5Xh+rzzzGPH49l5EjU776L8c9/ln5Vo9FI+UcfUdDWRmZGBueys2n29MQnOJjR7e0kPPAAccnJ3/mNGI1onn4aISQEQaPh9ODBDB0/3ka+/fJLiTBcVFTEli1b6MzMZHxpKaF33EF+cjKF5eVotVrkJSVgseA5fDjx8fEkJiYS4eOD05NPIgCWf/wDvLykgMODH32ERqFg3lNP9SjV1ev1UqdBtMEX7125XE5UVBTJyclcvHiR3NxcgoODWbJkyU0R3sVcq3PnznHixAlyc3OxWCz06dOHcePG0a9fP4eOxpXoaRG07zRarVYmTpyIr6+vxDm07ygGBgZKI6OelEx6vZ7du3dz/vz5qwi89igvL+fy5cs2iXthocM5xNGXv78/R44coaqqSipAxTHV7YJoby+KEkJDQwkODsbd3f0nDxgUBKHXHKTbeU74P1i0iN4ABw4cIDQ0lOHDh/P1119/L/naPffcw8MPP3xbsh/a29slY7MfC6LcT+RmiLJFb29v5HI5xcXFKBQK7r333lvOkrBYLGzbto3t27djNpsJDw+Xdu72PiMxMTH4+fldNzDRYDBIhUK/fv1YsGABTk5OV3mZ9GR9b+9lIpPJaGhoYP369dTX1zuMoa5VtIjnEIsfeyKhmFDq6+vLL37xC0bYeXTcDBobG/n888+5fPmy9FIXr5VYxInX6soXoSixF4uShoYGduzYQUlJCTExMUydOhUvLy+cnJyke62srEy6VhaLRRpZiecQd9Dl5eVs2rSJ9vZ2Jk+ezB133IHTn/6E4YUXQPwuT5xA/cILGJ98EtOdd0pE3uJvvqHWakUID0ewWmk4eZKGsjICfHxY9fbbDBs2zEZCb2oiac0am9rIZEL16afI6uvBYsF0//0IduRweXY2poMH+dzJiWNffIG1s5PQsWNxz8jAPHEiqu4RYWxsLPGVlXjJZAguLij37cO0YgXW5GSbud3rr5N28SLR0dGkpKRQde4cycD8oCA0UVEY7rqLmsZGSl58kdwBA6i1M0JTCwLxBw4QHx1NxEMP4dqdjl24YQNbd+xAGxvL5MmTbbk9ZjNODzyA4OeH8Y9/xOrvL93n6uefp+TeeymorrbdV5WVKC5cQJabS9nYsbTq9QQFBXHvvfcyuG9fNC++KHnJyC0W1F9+iayoCNrbsbz3nuMNZTCgeP552v78Z9Z++ilnzpyRXLfF+0okwYoqI3uuR3l5OTKZzIGYX1VVxaZNm6ivr2fw4MHMnj0bZ2dnBEGgurpaKn56ItqK51AqlVRXV3P06FFOnz6Ns7Mzc+fOvab/i1i0XHkOMcvIYrFQUVFBR0cHYWFhrF69+pbfyc3NzXz22WdcuHABQRAICQmRiOBms5nAwEAmTpxITEzMDRdJsQBtaWlxuFa3CzU1Neh0OlxdXampqaGrq0uSUPfE1/sxYLVaOXPmDKNHj/7Rzvl/tmgB2LVrF4899hgWi4X777+f57oVB7eK++67j1/84hcMHTr0e3+2jo4OKisrf5C5aHX3C1GUwYrXXi6XExoaKpFTVSoVbW1tDrsMnU7Hxo0byc/PZ+zYsT12TMRRh9gxqa6uls4hSgrFOf2BAwdob29nzpw5PY6OrlU0iG1e8Rznz58nLy8PhUJB//796devn7TY3oyXicViITU1lePHjxMaGoq/vz9BQUFXudjKZDLCwsKkMUhP59BqtaSkpJCfn09ycjJz5869qnUtCAKNjY3S92EvfTYajbi6ujJ27Fjc3Nw4dOgQra2tUr6QTCa7yi1Z/POVEnuDwUB1dTXl5eWcO3eO3NxcZDIZffv2ZdCgQVf9HmazmcuXLzNkyJDrXqsDBw5w8rPP8PPxYeqjj9KRm0vp559TarFgUSqxdJOVQ0JCiA0MpO/Bg3j//e8ojx5FuWsXpmXLUK1fT9Mf/8jWXbvIz88nJCSEBZWVhNxzjy0E8dQpm029INC+cyc548dTWFhoG7WYTCgPHECIiiKssZGoxYtxHTSIY//5D02CwJjly5k6dartHtXrcfrtbxF8fb8j2cpkKNetwxodjXXkSNLS0oiLi6MwPZ3yxx/nuKcn2UolgkJBfHw8Q3x8SBQEon79a+laydPT0Tz5JKZf/tI2shHvA7MZzZ/+hOFvf8PcHbFwau1avGtqmBkfT8evfiUZupWVlRFmNiPr6iJo8mRio6NJzMoipKYGfH1tKqnu56O9vZ1t27ZR9M03RIwbx4KHHsL/xAmUp04hrF6NfN8+LAsX0uHn5+AEazl5EiE2FsHbW+oEuLm5cfToURobGxk+fDgzZ8685nilp6JFVBjl5eVx4sQJsrOzsVqtREdHM2LECBISEoiPj+91zlBnZyfl5eXs2bNH8n9ZsGABcrmc/Px86XkXfYSCg4OlrklP52hvb5dCPIODg1m8eHGPsSSicWJeXp6D07P9OVxdXTl+/DiNjY3079+fkSNHYrFYes07FBV+ubm5HD16lKysLJKTk5kxYwaTJk363gokex8dsBVVooTabDZLEurbuJjfEBaLhbS0NEZ1F/E/BgRBkLratwn/PUXL7cbDDz/M4sWLb0tVKT68P4S74WOPPYbBYGD16tUMHz78mnLs65GBrVYru3fvZvPmzZKXi/gwyGQygoKCpDFLSEjIdSXfJpOJb7/9lvPnz5OUlMSiRYuk3VpqaioeHh6Sl4nFYpHOERgYKBUmoaGhyOVy2tra+Oabb6ioqOCOO+5g6tSpN5Sbi2Zx4jlEZU57ezvp6emEhoayZMkS7rzzzl6T/K7E0aNHWb9+vbT7E3ewMpkMPz8/qfNj75QrdkDi4+OlokQc96SlpeHt7c306dOlnZQ4lxd5JkajUTq/r6+vdI4+ffqgUCjQarVs2bKFvLw8kpKSWLhwobTzs1gspKenX1WA63Q6iouLpSJL396O8sQJWgcOpOzIEVQaDZPvu49fZGXBP/4h8UgAGydjxgzUW7diGT0a85w5KL/5BiEiAovdM3N8wwY2vv46rVYr/klJePbrh0wmQ5maituiRcR2y20jIiJw/sc/UOTkYFqxAsuMGbaCoa0N9VtvoX/xRU6cOMGBAwdwEwTuOn6ciBkzMD3+OAar1TYySk+n5IsvaBs92rZzr6qif1cXiUVFRD74IH3uuguVSoVer2fXt9+S8c9/ErByJUuXLcO/W2aNmxuCq6tDijUA779PUUQE+UDRgQN0nj+PNT4efW4uhUFByJRKhg0bxurVqynKzWXsli0Y/vpXFAcOoExNxbR8OdbISNT//jfGF190OLSsqgrV+vXkRUTw6T//SYmbG97x8QRoNCjz8rCOGuXgBButVuO8cSMWu5BJe9iPVwBmzZolebaIY9sTJ05InByxOHBxcfnuHNHRaDQaB6t+eyXT9SB2LvPy8igoKKC+vt7B/0WpVJKcnMyjjz5KeXn5LY0bKioqWLt2Lfn5+Tg7OxMQECAR2p2dnYmNjSUhIaFXXZOMjAzWrVtHR0cHc+bMYcqUKSiVSgdeTl5enmTQCbYOk3iO2NhYnJ2dbVyoo0c5dOiQpEC60jOpt7ieustoNFJbW0tNTQ1yuVwqYG41LLK3MJvNXLhw4Za7zbeCn4uWm8BvfvMbZs6cyfjukLPvA61WS0lJyQ8WftXe3s769espLy9n6tSpTJgw4aoHpbm5mcLCQgRBkLoA9kWDv78/MTExuLm5ceTIEXQ6HQsWLLjpVqwYtFdYWMjZs2fJzMxEoVDQt29fVCoVkydPvqaXybUgCALHjh0jNTWVgIAA5s6dK53H3q1TEAS8vb0dlDn2D/K5c+fo37+/lDIbHx/P4sWLe2y3imnJ4m5Qq9VKfyeqfwIDA0lLS6OyspJRo0Zx5513Si87vV7v0C1pb29Hp9M5OCUrFAoaGhqoqqoiPT2dtLQ09Ho9UVFRJCUlOUjwb2ZHlZWVxdatWwGYO3cuzs7O7Nu3T/p+RDg7O0vXKioqCq+330ZwdUXW0YHpV7/C4uvL6eefZ39LC+5xcSxdupQ+ffog37/flm48YQKm++7DolBQmZlJ6TvvkDNyJA0NDTZDtfZ2XLZswW/sWPo++iiFxcVkZWXRp7bW5pHTTcCU1daieucd5AUF6L/5BuzuC/Vrr2F66CGsfn5UFxZS+u9/c6mggMN1dTT7+ODv70///v2Jj4+n75EjRDz1FG7h4ShSU2n8+mv87r0XxalTGP/0J4drpPr0UyyDB1OuUrH1uedoNBoZ9eCDDN2/n7xlyygsLZXksDKtFvXly4RPn07S5ctET5yI26pVKA4fRqbVSnlGWVlZbNu2jZZ9+1g2Zw5jGxqwTJ6MZfp0kMlshd6vf00jSNLk8vJy5Lt2gUqFLCyMsBkziI6JoaWlhfR//APV1KksWrbsuy5tWxuKJ5/E8vbbcB2r+NbWVvLz88nKyiI1NZWqqipcXFzo168f/fr1k7KlboZDJiqZSkpKiIiIYObMmTQ0NFwzByg+Pp6EhASHsDvR/+XixYvs37+fxsZGZs2axYIFC3ocr4hdE3FsdKUzb1xcHBaLhTNnzqDT6ZgwYcJNdzqMRiNnzpwhKyuLjIwMcnJykMlkxMbGkpycLHWYbib/Rq/Xs2fPHs6dO4e7u7vkBdRbiJ3gG1lUdHV1SRJqjUZDcHAwAQEBt7whux6MRiOXLl36UUNvfy5abgKPP/44EyZMYMqUKd/7WDqdjqKiol6FcX0fiNb1R44cceiUgO0hUqlUjBo1SgoLvN6DLXJMLl++zODBg5k3b560k+mtl4mYodLW1saGDRs4c+YMy5Yt61XHRK/XS0ThoqIiSZkjBqaJWSniotwbnD9/nuTkZOmBzszM5NNPP6W5udlG1LSTHosEWJFke6X3gyAIGI1GdDodWq2WM2fOcODAAdRqNdOmTZP4PWq1WiqwLl26hEKhkL4TUUUhdpg8PDywWCzs27ePkydPEhwczPLlyx3sxnuCOMK70jDOZDJRUFCAXq8nICCA55577prKB/np02hefx3D66/bDN7oLibWrsX4xz/S1NTEZx9/TPaOHfhWV+O2fDmy7mJPLpcTefEi0Q8+SOzQofiq1Wg++gh5Xh7NEydSO2rUd9La5mZq//IX1oWG0trQwLSODiaGhyNvacH41FO0ymTS71F26hTWmhqsAweiyMoiVK8n+u67STp0CO8330Tm5ERmZibbtm3DWlXF3JAQBs+bh/rrrzFPmsRpb2/G7tyJ8Q9/ALv4Al1ZGaV//zv5gkBxaSldgwZhdXGh6sQJ6vR6AhMTWbVqlY2zIpejfuopcHJCCAvDtHo1aDRgMDhwUCScPYv+979n/6hR7NHrMXerc1RNTchra7EMGoSPj4+to+HtTez//i9yJycMb71lO243VAcPojCZaJ80iS1btpCbmUlkVRXLBQGvSZOwPvggZrOZ0tJSST1jbw/g4eEhjVrEdOb6+no2bdpEdXU1gYGBzJw584bjEKvVSnl5uTSaamxsRCaTSUaLzs7OTJo0iXvuuee6/ig9Qa/Xc/LkSSoqKjh48CB6vZ4+ffo4kE6dnJykyIBrSblF2Hc67A3sxGM1NjZKXRP72AC1Wo23tzd9+vRh4sSJuLq6OhQdnp6eLFy4sFejIzHNOi8vj9LSUiwWC3q9nvr6eoKDgwkKCmLRokU3zIDraXx3I3R2dlJTU0N9fT1ubm6SKux2hP6CbU3IyMi4adXo98HPRctN4Omnn5Zkd98XIsP+ZnY13xeXLl1i+/btKJVKVqxYgY+Pz00pmOy9TI4ePcqlS5fQaDT069ePoKAgaUG/GS+Tc+fO0d7ezqFDhwgJCWHJkiW0tbVJnZmWlhbgO2WOuKDby5JFmEwmdu3aRVpaGvHx8SxZsqTHjok9kffQoUOo1WrpJaZUKomIiCAkJITs7GyqqqokvopYwNgnDdvnTAmCgEajkVySRdOo7OxsUlNT6ejooE+fPlLxFhISglqtZuzYsb3erVVWVrJhwwba2tqYPn06SUlJ0rWyl9va58HExsZeZRhntVrZvHkzBQUFmM1m5s+f73gvms1onn0Ww9//jrar67vx2gcf0DlyJKjVyPPzCWhuJtbPj/aRI7nQbY61ePFi4puakBcXY162DNVXXyErKcG0ciXqzz+n6rHHHLhU6ldeoeP++6lYv5788+fZpdGQn5uLk9VK0qRJhIWF2X6P6GgSPvgA2ezZ35FsBw9GuXUrgpcXlokTv/v8Fgs88gg7Ojs5p9cTPHUqi5YsIWvtWqxaLXlBQbS0tEiLlOeOHcSFhhL54INETp5sK/Db21H/4x8YX35ZchYuyM4mKSODpR4eqN57zyEbSPWf/2CaMYNqV1cKCgoouHSJhj17kJeVUTlyJOFJSURHR+Pr68ul9HRaNm1iwO9/z+y5c3Eym1GvWQN6PbLaWgxvv+1Y+BgMOL30EtY33wRBoPmTT8g/epQTgYEc2LKFrj596NOnj82QLjpacrS9GXfnvXv3Ss/D1KlTGThwoNTRKCkpkcZG4sIpFkCiNFqEqCjZu3cvcrncwajxSojKnLy8PEmhU1lZSVhYGN7e3nh4eFBSUkJNTY3k/3KzPECz2UxJSQmXL1+WyOouLi5Sxpf4e/Tp08dhMa+qqsJkMvVoCdHa2sqWLVsoKioiNDSUBQsWYDQapWKxqalJurc8PDxISEggISGhx41hTU0NmzdvpqamhtjYWBYsWNDj91ZWVoZCobglebUgCNI4uqmpCS8vL0JCQvD29v5eCiS9Xk92dvZ1uXG3G4Ig2DYOvXQ57gX+7xYtzz33HP369WOufZT9LcJgMJCbm3tblEg3i46ODtavX09+fj79+/fn3nvvlW7cnrxMxO+uJy+TxsZG1q1bR0NDA7Nnz2bEiBE3fAhEFVNhYSGHDx9GqVQil8tpb28nJydHio+fMWPGDTsK10Jubi6ff/655ItiNBolAqxISI6NjUWn0zFx4sSrZr8Wi0UqRs6ePcvevXtRKpVMnjyZ0NBQXFxccHFxwWw2U1NTQ2VlpeRkK14vkZMTGxsrtZGPHz9Oamoqvr6+zJkzB71ef0NekziWEr8TMWxT9MyJjY3l3nvvZeDAgb2eYVutVi5cuMCwYcPQ6/Vs27aNY8eO4ezsTFBQEMaTJ7GGhSH4++Pq6mp7uTc0EOPjgyYiAtU332CePRtrRASqzZsxPv44YBtLbtm0idK1a+k7cSKLdTqU996LddAgVK+/Ttmdd3K+spLMzEwsFguyqirkhYVorFbCZ8wgdvp0YsLD8fvrX6l66ik2dncBRowYwbz0dDSlpZgWL8Yyc6ZtUe/oQPP3v2P4n/+RfremsjLKH36YPLWa4iFDEFQq272VnY0sN5dpv/+95FIsP3MG9bvvYo2NdZA4A6hffx3TAw8gBASAxYJy/XrkOTnkFRXxZVIS1TU1hIaGolKpsDQ3I8vKwjp6NMH+/iQVFBCvVOI/ahQys5kzEREOu1Hl119jiY7molLJnr/9DWtbG3c+/jgjysqwTpqEtdvQrKSkxBZQ+MUX6MLDkXd0ICsowHvUKOJnzCAhLY0+c+ci9OvHiRMn2LdvHxqNhoULF/ZKKSlaHRQUFHD69Gk6OztxcXGhuLiYuro6QkNDWbVqFRMmTLglfoRer+fbb7/l2LFjWCwWwsPDHUzdxK6JyDXRaDRXqVFu5P8iQvyZvLw8B+dcpVIpecDEx8fj4eFBQ0MDmzdvpqKigqioKBYtWnSV/0xlZSVms9mhaNHpdFKHqbCwEJPJRHt7O7m5ucjlcoYOHcrq1atv2bAzPz+fzZs3U15ezsCBA1m9erXUIS8tLUWlUn3vgFtBEGhubqampobW1lb8/PwIDg62GTDeZAGj0+nIy8tjsJ2p4g+Nn4uWm8DLL78safG/L3obWPdDoq2tjc2bN0u7nH79+uHq6kpERIQ0nujtTs1sNrNr1y7OnDkjkW3b29ulhbaystJBxSQqc3oqGgwGA1u2bCEzM5OBAweyYMGCa96g9nyZ0tJSh0TmgIAAQkNDyc3NpampiVGjRjFr1ixppyMu3GFhYdJYR6fTYTabUSgUEs9ELpdTV1cnuXU2NDQQHh5OVFQU3t7eUmFyo3BFe9TX1/P5559TXFzM8uXLGTt2LBUVFdIYpKmpyaEdfr2xVEVFBRs2bKCjo4MZM2YwatSoHl8+giBQV1cneVucP39eUlqIHSaNRsPlEydQZmcz67XXGDx4sO1YOp3Nd8THB2tCAuYVK2zGZ3/8I4aXXnIwMut69lmKCgvZ6+PDge45fKK/P0FdXQTOnk1AQAC+vr6MdnXF+Ve/wvjMMw7W96r//V8skydjFTuAtbVcfOYZdl26hGLZMhZ382iKi4speeMN8iIj0XUHLCoyMvDr7CTex4eI116TSMkAqvfe44KfH82BgRzavBmvnByWzJtHTGkphjfecOhsyDMz4dQpCidPpmjjRooPH6YpLg55VRXWyEhcIyKIioqivr6ekpISgs6fZ9G//kVEejqKy5cx/uIXCJGRaJ57jq7XX+fCxYvfFS2trajfeQfr0KHIT5yg8s47ybRa2bZuHTnHj+McH09SUhI+Pj62romnJ0nffou7iwtMnIh1zhzbZ62vR/HBB1jsTfywjQS2bt1KTk4Offr0YenSpSiVSocF3WKxSC//8PBwEhIS0Gg0BAYGOowpWlpaJM5KTEwMixcvvioVXITYNRG5JvYjYnEskZeXR0dHB3379mXBggVXJT1brVbOnj17TTWK0Wjk4sWL7Nu3j0OHDqHX6wkLC5N4MmJhEhER0WsOR2FhoWRgN2LECGbMmEFLSwvHjx+nqKjIwZ/F2dlZ4uWIxGR7ZGZmsn37dnQ6HePGjWPKlCnXLPba2trIy8uTxkZikSWOiF1dXbl06RImk4mJEydK4+UbjZFuBlarlcbGRqqrq9HpdPj7+xMcHNxjAndPENVlP+Y69nPRchN47bXXCAoKYtmyZd/7WCaTiYyMjB+1rXYl7BVMhYWFbNiwAYDly5f3OhOpqdsKXSTyms1mGhsbycnJwdPTkyVLljB69GhJ/XMlLl68SP/+/a/5YKenp5OSkoK+2xRMtL4XcaNEZnsC7KlTp9i3bx9OTk5MmjQJPz8/9N2+GE5OTjQ1NVFTU0NJSckNiwaRBOzn58fKlSvx9/e/4bUSlQdiYVJaWkpzczOdnZ1UVFQQFhbGypUrGTJkyC11mMxmM3v37uXo0aPSKK2hocGhkAsMDJSs46uqqhg5cuRVx9H86U+0P/UUOw8d4uLFi0QGBXHP7t24DRtmM5dzdbWZra1ZQ0FbG/kuLnR0dCDX6ZCfPIlnVxeRL7xAbEICkZGRmI1Gdt11F5cGDCAmLo7JAwbg8+WX+DY2Ynz6aax2ZHRZZSWq9esxPvkk1o4O6t56i4LaWgrLy6keMgQDkJeXR1tbG/2Dg1kVFkbCs8/icewYyqNHMa1ahXLDBoxPPgl2xn6yykpU69ZxdvBgRpw5g+DtTf2iRWx79lmylUq8u0nUtbW1WC0WVAcPwsCBRJWVET15MtGrVuFrNEpOu/ZQpKbSfPQoG9LSqAgNJXnWLGbPno3b2rVYJk3CHBfHyZMn8fDwoKCggPJ33kEvCFiTkrCGhxMUFERcXBx9t23D/+WXqe2W0tfV1TE8MpJFn3+ObNUqLA8+iNKuOFS88AKWJ56A7o2FaLcvjihaW1tpbW0lJycHQRAYM2YMy5cvl7xTrkRJSQkajeaai2JhYSEpKSnU1NRI1v319fUOvhki10RUz1wLIkG5q6uLiRMnMnHiRBQKBRaLhXPnzpGUlCT9HiUlJZJAQC6XExERIY1adDodx44dk/xf5syZw4QJE3rF2TAajVJsR0FBAVqtlupu12FXV1dGjBjB9OnTb0ntY7Vapa6qVqslMjISmUxGU1OT9DOenp4Sofd68QRms5nDhw+zbds2XFxcWLZs2TXHbd8HZrOZ+vp6ampqMBqNkgLpet9jR0cHJSUlPyrNwWq1olAofi5aeoM33ngDd3d3Vq1a9b2PdS3J6Y8JrVZLaWmpQxu5o6ODb775htLSUiZNmsTk7iwXsZtRUlKC0WiUXlQ+Pj5SV+bKeW1ra6skT54yZQoTJ0686kFLT0+nb9++yGQyydX0yrGUi4sL/v7+5OXlYTabJQWXeCx7ozV7rom409N0B905OTnR0dFBTk4OW7Zsoba2Fi8vL/r164eTk5ODKV1viwbR3bapqYkZM2YwZsyYq/J/riwaxHN4enpSXl4uXf+qqiqJr3K9jgl8F0Ypdk06OjocEqw9PDzIy8tDpVL1OLYTBKFHYz/Frl2gVGKZPt0WQvjeexzfvZtN9fU0d8uqg4OD0QDxGRlE/PGPxIaF4bN+PTKdDlldnc1q3+5Fp/rsMywDB2JNTKTkr39l3enTNAcFcbePD4Peeou2tjbp96j6+GP0Y8Ygz89H3tRE8MyZJDg5Eefigs8vfvHd72C1UvTLX7LRxQVrRgazV6xg4MMPozx+HFl9PebFix0v2BNPUKBScSY7m4aRI9EKArLOTuSXL+M5Zw4KhYLCwkI8PDxYqNMxpLER64QJto5S9z2teeEFDE8/DXZcKvnFizj99rcYn3kG46xZVFZVsWfPHvZs3UpXWRmxkycTEBBAS0sLE+Pj6XvwIDE+Psjeew/sFlbFyZPIqqowL11q+x/Nzag++IC0zEy+NZuRDRzI/PnzGTJkCM3NzRRs20bBmTOUhoVJC7pCoSAyMlLqNth3SQVB4OTJk+zduxeVStVjJEVxcbEU2Cd6jvTUNQkICECv11NeXo6vry8LFiy4JdNOq9VKSUkJmzdv5tChQ5hMJuLj4zGbzSQmJkodDZE0fD1c6f8SEBAg8V+ampqkjkZ5eblE5FSr1cTExEgSZfsOptFo5Ouvv+bChQuEhISwcOHC63L/7H1g7N1zReuGlpYW6uvrCQwMZNGiRbdkxZ+fn09dXR379+/n7NmzJCcn8+CDD/4g+XVGo1HygBEEQSIMX1kotLe3U1ZW9oMLSuxhtVpRKpW3U879f7doeeedd1AoFKxevfp7H8ueU/BTQfTk6El2LSYVf/TRRygUChYuXEj//v1vWmorHuvAgQMcPnwYT09P+vXrR3V1NXV1ddTX1+Pn54eTk9MNwxXNZjOdnZ3s2bOH48ePExAQwIQJE3B2dkatVkvSYTGBtqKiQpJxiy8qkZwaExNDQEAAa9asoaKigujoaJYtW9aj7X5PEPkGYtdELFQqKysJDAxk8eLFDBw48Lojo2tdf7FjcvLkSby8vEhKSpJi7EWIeUz2KqOeYDab2bNnD2fPnpVGBV5eXg5Fi5gwXZiZSeVXX6GfMAF5aSmKoiICJ04kMT+fyL/9DW9/f0k9EZ2Tw6LXXsP30iUpgVmRkYHg4oLFTl0nq69H9dFH6KOiKDt+nOxhw7hUW4t+xw5Ko6Ko7n6RL1y4kKHt7UTX16NuabF5mAwZYrPDf+EFDH/9q8P4RvXvfyPPyMAyYQLahQvZtXcvF86dw/v0aeIfe4zaujrb9RIEFEeOoGltJeL++zF4eTFv3jzc3Nxsx33mme9kwq2tWP/xD3bu3UvalCmERUWxePFifH19URw5gqy5GfPChXR0dFB48iTFa9dSWlyMYdw4BF9fyVgxLi6OfikpqJ95hp1Hj3L51Cm80tN5cPZs/KuqbMnT9ouwnUkdej2qTz7B3NREwdSpFL/zDjljxtDU3ExeXh7Nzc0EBQWxVKdj8NtvExkVddNSVp1Ox7Zt28jIyMDDw4OkpCTq6+vJzs5GpVLZrk23q62950hP0Gq1bN26lezsbEJDQ1m6dOlVXcfOzk7JoE6UQdsTesVug0ajISUlhSNHjjB8+HAWL17cYzp6TxC7TLm5uaSnp0sFvU6no0+fPixfvpwRI0ZcRba9HkTiq7u7O1u3biUvLw8PDw/69u1LfX29g0eLk5MTcXFxN/SBsSfwhoSEsHjx4qsiEkTejGiEJ/oxtba2EhMTw/DuSAeALVu2UFxcfF1jve8LvV4vSaiVSiUhISEEBASgVCppa2ujoqLiB7Pu6Ak/Fy03gXfffReDwcAvf/nL732sa+10f0yIu4MbVclFRUV88803CILAihUrrjs6EmPexcX8Si6LWq2mqKgILy8vVq9ejV6vJz4+XnrIr0waFv8sJg2LPBOwjZa2bNlCU1OTLfG3+2Xp5eXlwDO53i7t0qVLJCYmUl1dzYYNGzAajSxatIh+/fpJduFi90f0GgFb0WA/MrJXMpWUlLBx40b0ej3z5s275rxXLFpCQkK+k/R28w3gO8VUSUkJrq6uLF++/JY7cwaDgRMnTvD1119TU1MjeT2Ehobi6elJbGwsfQ8eJGzOHFz27sUydizmWbNQfvkl1r59sdqdV37xIpWffsqGrCzaoqOZcf/9jOzbF83f/07Zo49KfiM1NTUot28HjQZ5cjKRd9xhIyVfvgyCQEB38V9WVkbKv/6FdutWpvzqV4x+4glk3QuL6j//wXznnQjibrKtDePf/07R8eNk/vKXlHS7hAIoz51DlZREmVaLWq1mXp8+TCkrQ9HcjH7tWrCLbVAcPoystRXzggVgNH4XI6DVYnryScxeXpw6dYqvvvqKivJyQmtr6bNwITKjEa/MTOL8/IhatIj4jAwE+zwmQHHsGLKGBszTp6NeswarwcCu6Ghyd+2iWalkzNKlTJkyBYVCQVNTE8VvvUWuqyuVly8jNDSg79sXs7s7MaWl+A4bhkdyMu7u7mg0GgwGA647d7K3o4N2Dw/Gjh3L9OnTr3uPX69rotFoKC8vl5ymZ86ceVOSWhGied2nn35KaWkpHh4exMXFoVQqcXV1lbomUVFR123rm0wm0tPTCQoKIiUlhcbGRskSX4ykuFI+DN0S+8hIqQDy9PR08H9JTU3FaDQyZswYB5PFniDKxo8ePUpZWZlDkaNWq6msrEQulzN69Gjmz59/07Ju8XpdvnyZtWvXUlRUhJOTE/Hx8dLmSyyA7HkzBQUFeHl59TiKrqysZMuWLdTV1REfH8/8+fOvyT36PtBqtZKE2sXFBXd3d/R6/feKx7lZ/Fy03AQ++ugjmpub+fWVzpi3iN6G9f1QMBgM5OXl9Xoe2dnZyTfffENxcTHjxo3D19eXkpISSktLJakt2NrH9qqZK3c2VquVpqYmNmzYwPnz5xkxYgTDhg2zJdfK5VJholKpaGxspKqqipKSEtra2qRjuLi4SF2Z4OBgdu3aRU5ODsOHD2f27Nm9vqEvXbqEj4+PpGYqKSkhJydH8lCYMmUKSUlJ0sjoZubIBoOBbdu2cfnyZWJiYhg0aBAVFRWSAshsNkspsjcqsoxGI99++y0XL14kNjaWxYsXX0WWE7NaxFHLtTozERERHD9+nO3btzNq1CiWLl2K96VLaP79b8zTptl8R9RqqUtitIu/kBUUYL73XrIWLyYvIkKyLa8+cwb36Ggm3nkngwYNIl6lIuLddyEszNG3RKvF+vzzFD/6KLGxscjq6lB98AHy7Gx0r77KvsJCTp48iZ+fH2OjomjfvZvsfv1obW5Gnp4OHR24AVH33UfckCHSIigrL0e1aRPGP/wBeW4u8rVr2e/uzrGTJ/EcPpylDz9MSEiI7ZkbOBDNn/+M4fXXaf/yS4oOHyanXz/Ky8uhthbLwIFShlVcXByJR45w0c+Pw9u24WkyseillwgfPtzWHXn+eSmPCQCTCc2zz2Lt1w9ZeTmmBx9E5+vL3pQUnPbsIXvIEHJycqScr4ExMUzJySHM3x/57NmYkpNti4FWS8CWLZj+9Cc0Gg0ymczm55OTg2HNGjJXrZIcks+dO4ezszPjx49HEATy8vKkdGP4zqlV5Jr0ZAMgCAIpKSmcPn0aT0/PqyXw3bjeGCQkJISEhATi4uIoKyuT3Hdnz54tue/eCCLRNjg4mLy8PPLz88nIyKCgoABBEBgwYADTpk0jMTGxV2MjEWLMxfHjxzl9+rTEawsICKCgoICSkhKJCKtQKIiKisLd3V0qtnpCRkYG27dvp6ur65oGdmIHSBxPtbe3S9dBJA4nJibS0tLCjh070Gq1jB07lqlTp171DsvLy8PX1/cqiTnYuIW5ubnk5eWRnp5OXl4egwYNYuzYsTdMxr4VCIIgJcU3NTUREBBAcHDwTb8jbwU/Fy03gU8//ZTKykp+//vf35bj/dRFi9FoJCcn56Zl14Ig8O233/LNN9+QlJTEI4880mOgn8FgcOia2CcNOzk54eLiQkNDA7m5uRw8eBCr1Wqzbu/eBalUKiIjI687MrrynGlpaezatQsvLy9WrlwptV47Ojqu4uWATcUT363WEIsssd2enp7O9u3bcXZ2ZsWKFTfcgdp3ZgoLC2lsbJT+rq2tjerqavz8/Lj//vsZNGhQrztdV+LChQt8+umnNDQ0SC8KESEhIZJr7o0ymdLS0vDz82Pjhg0Yt25lxv/8D8OmTJGyiWr+8AeyJk6ksLqa1tpaFOfPI2towGXSJGImTpQ8eZxyclBcuEDx1Kls/OwzOo8eZXr//oyXyTC++abDWEf9xhs0zJpFo9VK4qFDNLe0kBMRQfHx45TExEgLh1arpXbPHuSDBjE3NJTFJhPW1auhvR15URHmu+5y+F00f/oTxoceQvX55wihoZjuvRdZRQXKb7+lbMkSPvroI/Ly8jAajSQbDMjd3ZHX1OAxdCgx06YRHxdH3LvvYn7jDQeuiayyEs0LLyAEB2O6914aAwJISUmh4uhRBoWHM/uFF3BycrJlTDU0UProoxS0tFDarx9mX19MJhNWq5XI8+fxXbwYn7g43NzcbCPNzExOv/giuf37kzhvHgsXLZIKUfWLLzoa4LW1ofn4Y8yHDpH3zDPktbWRnZ0tJbWLsQ0ymYyBAwfy4IMP3vB5uRJFRUW4ubnh7u7OF198wfHjxx1CBAVBwNnZWbL1740dvsFgYNeuXZw/fx4/Pz+WLFki+Yx0dXU5jEEMBgMWi4WGhgaGDx8ueZuIi7TJZGLfvn2cOnUKT09PFi9e/J1B4TUgCIIUH5Cfn099fT0mk4m2tjYqKysxGo1ER0fz0EMPXZfjcz1YLBb27t3L1q1baWtrw9/fX3L8FXlGYgfoRuNnq9XKyZMnSU1NRSaTMWPGDEaOHIlMJiMnJweDwUBdXR15eXmShxXYYjzE6yWmZwuCwNmzZ9mzZw8Wi0UKP72dzrhNTU0SV6empoaWlhZ8fX0JDg7G09PzBylgfi5abgJfffUVBQUFPPHEE7fleD910WIymcjMzPxeGvuCggK++uorDAYD06ZNw9/fH71eLxmtiTyTrq4uKdCvoqJCWpwaGxvp168fSUlJuLm5kZqaKsUF3Cwj3Z6cmp6eLtl4iz4Q9hb44s4jIyPjhkqHlpYWNmzYQGVlJePHj2fQoEGSb4r97yKXyyUyb1xcnJQwbY/Ozk42bdpEYWGhFGTYk4LMaDQ6cGZE91/4LjKgT58+XLp0idzc3KuyhXqDs2fPEhUVRfHbb5Pl7Myh/Hyqq6vx8vJioIcHib6+RC9eTNLp0/hotZgWLEC1cydG+3wbi8VmQvfyy6g++wxZSwv6Bx/k4EsvcVSpJDAhgQULFth4IAcPUnTkCK1mM0J9PerRo/GKjCTpyBEiX32V8Oho6YWq3LEDWWUlFBdzICyMA83NeLq7c3dREQHvvedQCCm2bEGxdy91gYFkjxlDQXc+kyI1VUqBjoyMJDY2luyvv6Zy1y5UI0cy/7nnJEKk6vPPsQwYgNXuWVCcOmVLh/7zn7F0xwsYDAaKc3MpffVVDkREkJGRgdVqJcbNjYENDURrNFj+8Ad8fX2lwtyzvBzzoUP4/fnPqNVq5CUlqD/5BMHJCWtUFOZVq8jNzWXr1q0YjUamhYQQZzaTN2AA+dnZ1O3ebetQRUTg3NlJ9PLlUnfOxcVF8jGprKyks7MTg8HAqVOnJAv7yZMn97hQGQwGST1TWFhIVVUVGo0GV1dXgoKCiI+Px93dnSNHjtDU1MTIkSO58847b0q1Icrs8/LyOH/+PIcOHaK9vZ2AgAAGDRpEv379HDxaDAYDmZmZNxyDilLs0tJSoqKimD17tkS4FUdg4rMXGhrqUADZE/ibm5spKChg586dNDY2EhcXx6pVqwgMDJRURCJPRAxxFQsg0WUawM3NTZJaZ2dnk5mZia+vL4sWLbppzxZROp6ZmcmePXsoKytDrVYTFBTEiBEjGDp0KPHx8VdtFK8Hs9nMwYMHOXbsGBqNhlmzZn1nZ/A90NDQIHWL4bsuek1NDR0dHZKE+koj0O+Dn4uWm8CGDRu4fPkyz1wjlOxm8VMXLb1J+hV/rieeiX3SsCAI7Nu3j6qqKps5mdHooJqxDw20987IysoiMjLSYS4sxgVkZGRIcQHiDWrvZltYWEhdXd11LfBFUuupU6eIjY1l6dKlDufKzMwkOjr6qpa5VquVOjNilpEgCJSVlVFXV0d0dDT33Xcf/fv3v6WdiyAIHD9+nI8//hg3NzciIyMd/CCuJNre6KHPyspiy5YtyOVylixZIhH14DvuTEFBgUPCbXV1NcmRkSSWlBD5xz9KO7TinBy2/uY3aIODma9WM+jppxESE9E89xyGP/0J7K6f6pNPoL0dWX09ZbNnU2CxUHjyJHWnTmEZPpyOjg7y8/NRq1TMrqxk+bBhmBYupLa7uFOuW4cQFYXFzpdDlpOD8yOPYHz4YczLl0udj7a33+aLxkaympvx9fXFw80Nc1oaiowMzAsW4BcTQ1xcnC1s8fx5ZB4eWCZPth2zvh7VBx+g3b8f1fbtdCgUbN68maKiIpLCwlhaVYXy5ZdtHyA/n5Z33yVPpyPX2ZnKgAAsFot0P8cXFOA1fjye/fvj19SE/86d7FIoKMjOJmThQlasXv1d90sQUD31FGeWLWNoVBSqDz5A8PHBdO+98Oc/k/PAAxR032ddXV1YzGZKt2yhMTycaKuVB4KCGPD00xAXh9Ozz2J94w1HEu8VMJvN1NbWUlVVhUwmo6ysjJMnT9LV1UVERITDM6lWqx3GRtXV1Xh4ePRIfhV37bt370YulzNv3jwGDRrkYEpZXFwsLej2tgRiAZSQkCA5M2dkZLBt2zZpszNu3Djkcjl6vZ6srKxrFi2NjY3SqEXky4kZas7OzkyZMoVVq1b1mlAvQuS/pKens2fPHpqamnBxccHPz89htCImQickJNww2drewC46OppFixY5KLqau8nVubm5VFRUSP9fHOclJiZK3ay2tjbee+89mpqaiOomiPeGdCvyc8Rr1tnZKW3uPvvss+/ddamvr6etra1HNZTYNaupqaGrq4vAwEAp/PX74Oei5SawZcsWTp8+zfPPP39bjvdTFy32smur1epgSX+l0Zp9qJ/4555ueEEQ2LZtG6dPnyY6OpoVK1Zc9wWSnZ1NeHi4Az/D/kWUmprK0aNHUavV9OvXD3d39+9s3WNjCQgI6PVuoaCggA0bNiCTyVi6dClRUVGkpqZiMBioqKigtbUVmUyGIAiSC2xcXJxtBHJFG7yqqopvvvlGSoG93s5QUud0S6BFO3SxQzN06FAyMzNpb29n4sSJTJ48+aazQaxWKxUVFWRmZpKSkkJZWRlBQUEkJCTg5uYmedlER0dL3Zi0tDTGbdmC4bnnHAoRzRNPgE6HbtEitnd2cuHCBWJ0OpaOGYMwY4bEmSnbtw/LsWNYJkzA2qePLawuNpZ+Gzbg89ZbyLpf9vLcXJTPPsu+kBAO+vri5u7OhAkTGBkX55hw3NKC+sMPkZ8+TfHTT5NvMFBQUEBdXR3yzk7kGRmoJk8mKjISw7lz5B0/jrtKxcJXXiF63LjvLkZnpy0z6bXXQKtF9fHHyPR6LDExFFRXE/3b3wLfEVSPPvssO00mjAYD8Xo9vj4+uIwYwcBz5+CRR/Cx75q0tOBz4ADWu+/G7dNPEQICMK1ejSItDVldHYVDh5KSkvLdd1lXR51Cwdlt22g2maiMj0dwckJx6RLKPn2IGjNG6gC6uLjYikCzGXlREZWTJ7OhsJDa2lpGGo3MnjMHzTVyz0wmk1Q0FBQU0NnZiclkoqOjQyrmW1tb0Wq1UijolYVwQUEBnp6e11XsNDc3c/nyZTZu3Eh2djYuLi707dtXCiUVO5q9JaeazWb2798vJUbPmTOHzs5OfH19HXggIvz8/KSiQSyyRYijlf3796NUKpk7d65DYXUlRFJvbm6uA6lXJpPh5eUlBZd6eXkxe/ZsJk2adMvP5eHDh9m6dSstLS2EhoYSExODv7+/JO3ujaopKyuL0NBQKb29traWxMRE5s+fj0KhkAjKRUVFEsdQHE+J57mdHQ+Auro6Ojo6bii7NplMkoTaarVKHjC3wrURN8s3E4B5A/zfLVp27txJamoqr7zyym053tmzZ3/0SG/RaK2rq8vGG6itxdnZGblcLr2Y7QuT71PNlpSUsH79eiwWC8uXL7+qGtdqtaSmpkqhXvaqBt9uTxCxM9Pa2sq6deukBNjexAWIv3NdXZ2kaKmqqpLciNva2oiMjGTVqlUMHDjwptqtIkwmEzt27ODcuXN4e3sTHR1NRUWFwzhHNMCLi4tzSJm+MsrBarVy5MgRDh06RGBgICtWrLjKL0ZsZ4tpwNcbTV28eJFvv/0WjUbDsmXLiIqKcjhW8T//SVxiIpYZMwAbf0P9179i7ewk/4UXKCgqoqCggJb6etpTU8nsnlFPHzaMuQ0NxNbVYf3kE4fgQeXGjQjBwVjGjbN1N95/H8HDA1lrK8aXXgJsEQvr1q3DfPQoEfPm4RkQQOW2bZja27FGRKBoaiJg9mypaxIQEIDTCy9gePZZ5EVFqL7+GvOUKVgjI9F9+y3rvb0pLi5mwIABzJs3D49//QvTypUoDh9GVlhI+dy55Dc3U/Lvf3MmLIzAwECpcIwwGonR6YiSy1FaLGwND6egqorEqioWPPYYAaNHOxTnmqeestn6A8Zf/tJm7GYywR//SM7991PQXZxqtVrK8vOpOHwYH19fhs+axfJHHyUkJARZczPq//1fjFdsfuSHD6N5+WWMzzxj+07EMUZ7O5effJJvuzslffv2xWw2O4wmVSoV0dHRUtFw5SagqamJyspKdDqdFEqo1+uZOnUq48ePRy6XS+oUHx8fKXRRNPIT4ePjI/EzwsPDqampYePGjTQ0NDBs2DBmzZrV64Wos7NTOkdxcTEdHR1kZ2dTW1tLcnKyZLR4KyqYrq4uvv32W9LT09FoNCQmJkr8C3Fj4u7uTkJCAomJiT0S4AsKClCr1Wi1Wvbu3Utubq7k/3Jl9IbBYKCwsJDc3Nyrkqf79OlDYmIiCQkJeHt7SzwTQRCYPn06o0eP7tW7LDMzExcXF6qrq8nLy6OqqoqGhgabCWG3DFoctd3GLsR1UVtbi1ar7bUZKdiulWjhIJfLCQ4OJjAw8KYiSH4uWnqJffv2sWPHDv7yl7/cluP9EEWLfdKwfcdEnPGKPBOxKMnPz+91AXCr0Gq1bNiwgdzcXOrr64mOjkYmk+Hq6oqTkxNDhw5lwIABveJjiHEBZ8+eleICnJ2dpZDFgoICB0M3mUxGUFCQQ3CguKMRBIF169Zx+fJlQkNDWblyZY/MfBGiOkcsGq5U56hUKoqLi/Hz82PVqlU33H1cK8rBYDBw+vRpvvrqK6qqqggPD5eyi8TYgLi4OMLDw3vV3m1ra2Pjxo2UlZVJvASlXk/xI4/Q8JvfUJiRQdW2bVgAWVsbwowZhHdzQGJjYwn++GNMq1YhuLoivPsu28rKON/ZSWxgIIteeeW73VtrK+q338b4zDOo1qxBptfT9cAD1L72Gtl33EFBN1Gvq6sLc2kpQTIZBrmc6rw8IiZNYuVvfkPkO+/Y1EZ2LyRFairyykpkJSVYY2Mxr1wJCgWaZ57B8OqroFaj0+nYtWsXWz//nLbcXOJ8fPBITsbg7W0zEMzIwHXGDAgLw8fHx/YMKBREPvoowtChmB96CLpl4LLycqo++oj13t60t7czefJkxo0ciea552gsKyNz1SryW1qorq5GEAQUFy6gio0lauRIm9twdDSehw+jeucdjM89R02/fvzrX/8CYPDgwSy6dAnZY49Bd5EsKylBtXYt8txc9O++i9nbm9LSUlvoYkEB2j17sA4ciMzDAw8PDxobG+no6KBfv34sX778pgi3JpOJmpoaqqur0ev1nDp1irNnz2IwGAgMDCQwMBA3NzfJdfZKk7prQbRw2LlzJzKZjLlz50pcOXGRFc3RRLi5uUlck8jISFQqlZRl4+bmRkpKCp2dnYwfP16SiF8L9u62+fn5Eq9OJpPh5uYmjV+GDx/ea5lyfn4+3t7e+Pv7S93fCxcusH79esrKyqSwWFdXV2mkIxaNvfGyMhqN7N+/n1OnTuHm5saiRYuIj4+XUrTFTpNIuBXfnQMHDiQxMZGwsLAfXKlzI1RXV2MwGK7aEPUWYqhsXXfYanBwMP7+/tf9rq1WK2q1+nYSiv/vFi2HDh3im2++4Y033rgtx/s+4yGTyXSVMkdMGha1/vYjHScnp6tu8B/bK0YQBI4ePUpqaiphYWGsWLGC2tpagoKCerWbMhgMEtFW5Jrk5uaiUCgYOXIkI0aMuOkMoJycHMLCwtBqtaxbt462tjYmTpyIm5vbVeMcUdYpLubXUud0dnayceNGiouLGTVqFDNmzLhqV2C1WikrK+PAgQNSN0jcAWo0GqKjo6XOzLFjxyTS7JIlS26qxWtvgicGvRUVFeFUU0PUsGHMDwgg3mgk5A9/QH3sGNaYGKx21v7yrCwUR4+CUomsthbTr36F4OaG5pVXyLz/flJSUjAajUycOBGPdevIt1opLSnBNGgQgqcnyqoqwlUqYrqLOF9fX5rr63F/+GHc4uIwz5uHZdw4GhoaSHnmGWoUCsYsWcLUqVNtL6X6epzvugvznDkYH3yQqtZWGzdnwwbqLBZMISHSCDPcbGbMli103XMPewSBiooK4uPjWTpkCKHnziE8/jjnz59n+LBhKPbsQf3ee5juvx/zlVlizzxD7ooV5FdUkJ+XR+6BA5QXFeEiCIx56CGGDx9OXFwcISEhKOrrUX32mUROlp85gyolBUv//si6ujA9/LDEHRs8eDCX16/n2y1bEAYOZMrQoTjv3EleVxclTk4IDQ1YBg6UcqDi4+OJk8nwPX0a069/jUKhcHhRl5aWsmnTJlpbW69JuBUEgcrKSmkxt/caUqlU+Pj44OnpSWhoKKmpqbS1tTFs2DAWLlx4U/4jBoNBGk9lZ2dz+fJlamtrcXNzY9KkSZIa6Ebj3CuzbKxWK0ePHuXAgQM4OTlJo9Pc3FzKysokDyh7d9u4uLhr8iZEmbJer2fy5Mk9Wv4L3ffOgQMHqKurc+CaeXl5ERcXh5+fHw0NDRw4cACj0cjo0aNZuHDhTfE1xO5MXl4eGRkZXLp0CS8vLyIjIx26M2IH+PLly5IU+78F10vCvll0dHRQU1NDQ0MD7u7ukjKyJ8uMn4uWXuL48eOsXbuWd95557Yc70ZFy5VGa2JhIhqtXVmYiGOe2/kZfiiUlpayfv166uvrWbVqlcQJsVqtDt0M+52ZPTk1NjZWenhbW1tZv349VVVVTJkyhQkTJtxwByIWQKKaQezMWCwWKisr0Wq1DB06lAcffPCmSX0iBEEgNTWVlJQUDAYDoaGh0g5M7ADJ5XJmzZrVK25OUVERGzduxGQySQ7F4nlqa2ulnbmoahCtyu2vmZubG/JLl2j/5BM+PH+e1n79GLd4MVOTk3F6/33HpGOLBaflyxFiYjDddx+GmBhKS0sp/cc/yAkOpr37pWE2m6k6fBhDeTkD587lwZdftu3OTSabl8nf/y6NOmTFxSh+/Wuahg3D85VXvpMXNzWhfvddDC+8QGpqKps3bcKQk0N4QwOqSZMw+PlhMpnw8fEh1NOToceO0fqb3+Ds7IxnayvBW7ei0WqxrFiBzC4uIj8vj+2//jW6ceOYPW8eLllZJGdlYR4xgqaLF8maOZOCggIqKysBkBcXo5bLibzzThIMBpLOnUOzYAHyS5eoGTOGDWfP2jgmI0cyffp0XP/nfzA+9RSy2lrUn36KZfBgzAsX2oIkX3sNi1xOcXEx+/fvx2qx0JmSgmX8eKznz1PR3IwuPJz+ycn8pqoKt3/+E+xfxIJgU2b9z/9A90u6pxe11Wpl3759bN26FZ1OR1BQkFRwyOVyyT/lSvWM/b9vbGwkNzcXmUxGV1cXp06dwmKxcOeddzqML0TyaF5eHhUVFT0WDfZeMOL4qK6ujiFDhkgmcdeCVqslLy9PClfMy8uT8nqMRiMVFRWYzWaSkpL45S9/ecsOsBaLReqcd3R0EBQU5FAMiEnuw4YNu67lfk/+L7Nnz2bixInSu1gMRhQLLXGkJxKhExMTb6hgBJunVExMTK/DDH8MVHYHoopmlbcDgiDQ1tZGTU0NTU1NeHt7ExISgpeXl8QF/Llo6SXOnDnDe++9x3/+85/bcry0tDSGDh0q8UzsRzomkwm5XN4jAfY2zvJ+cjLw5cuXOXHiBOfOncNisRAbG0tYWJhETrwZoq0YF3D06FEiIyNZsmSJTWrb3ZkRxzkymUwiJ6pUKkaMGNFjSFxWVhabN29GpVKxYsWKa+4mTCaTQw6QPXFQdAb18fHh1KlTtLS0MGPGDEaPHo3ZbL4pyXlnZyeFhYXk5OSwc+dOampqCAgIkFrFIgfkuqoGiwWnpUsx3X8/pwMCGDZ8OMePH+fQSy/hPX06y1avtuXwfPstJe++S1l4OJZudZlCoSBKoyGhvp6oZ5/F09MTeV4eqk8+QVZYiH7DBgqKi9m0aRMmk4nFBgP9V69GiIuzFSUffgiCQJdeT+GqVTg7O0uFVuvmzRiGDMGkUOBSUkJ8WxuK/v3JTU+nODycYcOGMXXqVJu65b33sD78MDKNBvWHHyI4O2NasgT1hx9KvBnpnkhJoUinI1OrZfeaNeRqtfj37cuAlhaC588nfuBAqWsiNxrRvPQSxvvvR/3ZZ1iSkzEvXoysogLVli0YH3sM+E5Js2/NGpza2lgeGkpAVBTZI0eSX1JC+e7dmDUarN3ju5CQEBQKBfM7O/HtvgdNDzyA0O37U/HOO2woLaXDy4tJkyZxxx13IJfLUW7bhuDmJsUiyOVyhxwd0UBOHPvGxcURHBzMpUuXqKyslGTwvd39izb1Op2O9PR0qqqqOHfuHGVlZbi6upKUlCR5jiQkJNyUJb4gCFy4cIFvv/0WQRCYM2cO/fr1k7qlolGdwWCgtbWVoUOHSuTRnka25eXlpKSk0NTUxPDhw5k5c+Z1k+DFa9ZT0RAWFkZ2djYlJSWEhYWxZMkS/Pz8yMnJITAwsFdcN0EQKCws5Pjx4+zevZuysjLGjRuHh4eHFIwohjze6mKbnp5OfHz891bf3E6Ul5dLvJ0fAlarlebmZmpqaiQPnMDAQPz8/H4uWnqDCxcu8Oabb/LBBx/c1L8TjdauLExaWlpwdXXF2dnZoTAR3WB/DPzURUtBQQF+fn54eXlx/Phx9u3bJ/FLekvAE9U5BQUFlJWVYTabaWlpITs7Gzc3NxYvXszEiRN7HOfk5eXdcDzV1tbGN998Q05ODuHh4Xh4eFBbWyvtMpVKJZGRkVKhdb1jiTu8kydPEh4eTlJSEuPslC8Wi4Xy8nKp09Tc3Cz9naurq8RniYqKQqPRkJGRwdatW1Gr1SxduvSGZluqjz/GMnw4XQkJbN++HScnJ4pSU+lqaqIjPJys8+ehspIp/fuzJCyMoDfe+G5hEgQbj+S115C1ttpItkFBYDJhmTgRqx050ZCfz86//IUzfn54FhYSodFQlZiI9dgxWgcPRmcyERERYeMbtbQQ3NaGJSqKoCNH0M+YgWzSJPz+8hfMr76KoFZz+vRp9u3bh1tHByv9/Ynw8kLW0IDpoYew+vvT/txzZI0bR0FDg9Q1wWjE5dgxokJCiIuIIPIPfyC7uJigigo2bd9Oe1QU06ZNkzoJqldfRd7SgjU+3uYK3E0o1fzpTxheeAGrRkNlZaXNDv/yZdo+/JCu8HCyXVzQGo0MHDiQuxYuJHnrVqyvvy5dC5PRSP0//kHsvn0Y/v1vh1RrWltR//OfGF98EYvFwsGDBzm6Zw/yixdJ1OmoXb5cMo2Ty+VSInRCQoKN1Hudgj4rK0vyfumJvK7Vah0UJ3V1dbi4uODq6kpERARhYWG4uLhgNpuRy+WcPn2axsZGkpOTmTdvXq8zyOwLLdHQrbCwkPr6eiIjI7n77rsZPXq0FGh6M6nB9lLsjo4OYmJibEZ/dsaOnp6eUgF0o6KhrKyMlJQUmpubCQwMZOnSpQ7dHFFCLLrPioR7MddM5AEplUpqamokT5qQkJBbsvu3x8WLF0lMTLwpL6YfGmI+k2gY+EPCYrHQ2NhIc3MzAwYM+Llo6Q0yMjJ45ZVX+OSTT676uyuThsXCRCSEOTk5XVWYXL58maFDh970SOd24qcuWgoLC/Hx8XHYzZSXl7Nu3TqMRiPLli0jISFBGueIi/mVZmvi+EMk9InQarVs3LiRgoICxo0bx/Tp0x1u9iuLFq1WKxVAJSUlDioAf39/dDodZWVlxMXFsXLlypt2HRXR3NzMwYMH+eSTTxAEgfj4ePz9/ZHL5YSHh0sFUG/Tptvb29m4cSOlpaUSj0ahUEjKqYKCAmrz85Ffvox13DjUajVWq5U7J0+m79dfo3zxRdQffQRKJfoHHuDoo49yICiIoIgIScWkXLcOa2goikuXkOl0GB9+GJlWi/zLLylavlzizLS2tCBPTcXo64tbSwum5GRymprwbm5m5oABBC1fjtlsJjw8HFeNBq8nnkDm749l0CBbyrFcjnLrVgRvbywTJki/o7Gri9zZs1nb1UWuRoN/eLjN66WhgQCtlui77yY+Pt7WNTEYcL77biwJCRifeAK6r+O5U6cYu2ULhr/9DbPFYiNCHjlCaGYmd1mtuH/9NVqVisLCQvLz8ynduxeTxYI1Jsa2owwOJrGwkH6XLuHx9NMOny8rK4sdTz+NuX9/5qxcSXJyMooTJ5Bv2UJrWRlu77+PYPd9trS0UPL882T37095SwuCwYDi4kVUgoC/kxMFwcEYnZ0ZPXo0M2fOxMXF5aZf1IIgUF5ezldffcXJkycRBIG+ffvi5uaGi4uLpDiJjo6muLgYf3//q+45q9UqBQSaTCZaW1s5deoUMplMsui/kjza2toK2J4be8XRld2Z2tpaNm3aRE1NDYMHD2bChAnU1NRcs2i5knAr+sHIZDICAgJoamqiqamJiIgIli5dSmho6E1dLxFarZZ3332XU6dO4eLiIpmn2UuIRTuB60H0f6mursZkMhEcHExwcPBNGfSJuHDhAn379r3pwNofEqWlpajV6h471T8U/p8ZD23cuJGXXnqJnJwczp49e0vpynl5eTz77LM8/PDD5ObmMnr0aARBoKury8FozX6U4+TkdM2i5Pz587YX2220Vb5Z/NRFixie2NPirNPp2LRpE5s3b8bPz49p06ZJRlg3S0YTBIETJ06wb98+AgICGDduHPX19Zw8eRKLxSJZsYvdDMmi/hoviIqKCtavX09XVxfz58/vMQpBdLW9stASfSCio6MxmUxMmjSJ7du3k5ubS3JyMnPnzr2pl5pOp5NGYEVFRZJbr7OzMxMmTJDm8pH/+Y8tR6h7x5eWlsaYEyfAZEKm02F66CGE4GAUhw4ha2vDvGABVVVVbNiwgdbqaiafP49XdDTZAwdSqtXaRpgHD9I1YgS+3b4LAQEBDPj2W7zz82m67z4YN872PADKV19lw7BhnDt3jqCgIH61bBl+jz2GpV8/jH/6E3R/B01lZZS88grZEyZIBmLyigqcT50iYsIEYh58kJiYGLKzs9mzezduR46w4MMPiY6NBYsF5fr1KE6cQAgLsx3XDtXPPUfYPfdgSUigpryc4v/9X/JzciiqqSEjIIAug4G4uDhmzJhBQmQkiV99BX//OwgCyq1bUaSlYZ45E8XJk47OwIA8Px9Faiod99/Pzg8+IGPzZsL692fYHXeQu3s3jcOHO8qH9XoSdTqiHnmE6MOHUVZVYXrgATCbUW3divGxx6Sxyq5du1CpVCxatKjHRN3rmbvZG6IBEsdk5MiRzJw5UyryezMOaW5u5tSpU1y8eJGamhqJd+Du7s706dMZMWKEJO29GQiCQHp6Ops2baKlpUUygbwyGNGeO3O9UUldXZ1UDPXv35958+b1+LMNDQ0S30QctwmCIIkXRo0aRXJy8m3pfBsMBmpqaqitrZUW+hspZexx/vx5+vfvf9tzhL4Peht1cDvx/0zRkpOTg1wu5+GHH+bNN9+8YdFisVj49ttvyc/Pl/5ramqio6NDsl9fvXo1AQEB1zRauxEuXLjAwG61wE+Fn7poKS4uxsPD44ZS4xMnTrB3715CQkJYuXLlDWWY9hbdBQUFDqRBrVZLeXk5bm5uTJw4kRkzZtxyx0Sv1/PZZ59x8uRJ3NzcCAwMRKFQSCquqKgoqWty5a7M3txPhDj3d3FxYcWKFVLb1Wq1UllZKf0+9ioQMTwyLi6O6OhoqdBqbGyUyM5T3dyY2L8/1lmzxAtE5SuvEHfqFIY33sDanbti7uyk5sknyVqwgMLCQlpbW7EWF6M4coTC2FiaNBoiIiKYN28ecfn5aNRqTDNm2EL+ampw/+wzFGVldG3Y4Jg59I9/YFq2DKFPH1pqash+9VW2XrxIg9FI4JQpDkVo0MWLxNx1F7EjRtBHq0Xz+edYEhORl5VhfOEFh2uo+uwzmqOj2ZCXR9nRo4zQ6bjziSdw3bIFw1/+QpfJJEnhiy5epPnQIVxmzEBRWEhoUxMxy5aRoFQS4OWFdeZMSa1y+PBhfDIzWfLkk/Qxm1Fu3455/nwsY8facoGefBLsPnNnRwdlv/sdWcOGUb5jB2Z3dywDB9Le2Un17t10xcVx/wMPcOedd9o2MYKA5umnsYwYgeLiRUx33y2N18RxFFeMAQwGA+vWrePkyZMoFAoHc64rfVpuNIqwH6solUoWLlyIXC4nMDAQb29vaTEX/UBEiNlDCQkJ+Pr60tDQQFtbGzKZDqJxXQAA0yVJREFUjBMnTtDa2srw4cOZNWvWDQtv0UIgNzdXkkMbDAZaWlowGo10dXURGxvLQw899L04E+np6Xz55ZfU1tYycOBAurq6pL/z8/NzyOyxH59lZmbSp0+fHyQtubOzk+rqahoaGvD09CQkJARvb+8bZoUNGjTolro0PxSujDr4MWC1WtFoNLdzQvHfWbSImDhxYq+KFkEQeO2116TFIC4ujo6ODu7vlnneDly8eJH+/fv/aPyVnvBTFy0lJSW4ubn1GLfeE8rLy1m/fj0Gg4GlS5cSGRkp2e0XFRU5vJBEg7q4uLgeSYMGg4H333+fiooKRo8e7RAXcCWuHBuJgYuAxDMwGAycPHkSV1dXh4LjWrBarVy4cMHhXmxvb6egoID09HR27dolGeCJMkjxXuxJBXLN83R0cPRXv+JAdDTBwcHcNWgQqg0buHDuHOW//CVl3a1rk8mEJi0Nr1Gj8EtMJMJgIOnoUQRvbwgPx7BsmRRyufmbbzCmpjLzzTcZGhGB+oMPEHx9kTU1Ybr/foTgYMnUrCA1laI9eyiLjUWWnY21qgptYiIjm5sJfvRRckpLKSoqIjExkcXx8bhfvox57lyb5X1gIKbVq1H/9a8Yf/tbsCsuZY2NqN5/H9OcOTR//DFZERHs7+jgzLffonB2JnHkSEJCQoiJibGFYn7xBUWRkfQrKsI8axaWiROhqwvNK6/YvGHsICspoe3f/+ab3FwqPTwYvmoV02fMoHnXLvIvXSI3OFgyKgPwyM8nobmZ+EGDCH3iCVTdn1O5fj3GsDAuOjvT2NjIiRMn8PX1ZVV1NWHV1ZgeeQTLmDHSeRWpqQg6HSWDBkmbJXHUIpfL8fb2JiEhAXU3z0er1TJt2jTGjx9/054dYgLxpUuX2LJlC3l5efj7+zNgwADCw8OlxVz0CLoWLBYLdXV1VFVVSUqkM2fOoFQqmT9/Pn379pW6QHl5eWi1Wts1tkuGFuXQ7e3tVFRUSN0ksWNSVVUldSGvxem40uBN9KaSyWSEh4cTExND3759ez1yzcjIICIi4pbVg72BuLmqrq6+If/l7NmzDB48+CddL65EYWHhNaMffij8XLTcBOrq6li5ciXbtm27LZ/l0qVLJCYm/qTtvv+/FS0iurq6WL9+PevXr2fEiBEsWbLkuv4M14LIqSkpKZG+1/79+9PY2OiQouri4nIVCfZaaG5uZv369dTW1jJlypSrFhRxscjPz+fw4cMOXQZ3d3epMImMjEShUHDo0CEOHz5MSEgIK1as6HVXSFQ1lf71r2RHRtLR2UnHiRNc7ugAmYwhffsyYvlyAgIC0Gg0+DQ04J+WhmHJEnzXrUMRGor5rrvQvPyyg2wZbGnN2rlz2fXWW5wrLsZ17FjiPD2pTEujo18/6ef8/Pzoe+QIsQsWEJGWhmXpUpoTEtBv2UJoYCAWsfMD5GRlsf2RR7B6erIkMZG4554DLy8Up08jKy1Fu3ChlKFUUFCAcft2ZHI5QkAA/lOmEJ+YSFxAAOFff03zU0+RkpJCUVERAwcOZKFOh9uuXeQPGUL4U09JUmv1229jWrQIwS7UzlBcTOXKlWQNHUp+RAR6k4mqqiqKCgvxr61lwZ//zMSJE22Fo8GA6v33Ue3YQde6dZJbLgDt7ajfeovOP/1JMhGUX75M83vv8U16OsUTJhAREYGvry/l5eUYu7pQHjqEdfp0hwJVHNf0JHk2m82kpqZy/PhxfHx8WL58+VU8jiudZ6+0eBdHLaJb9L59+yRTPXvp7o3Q3t5ORkYGZ86cIS8vD7AZorW2thIdHc3dd9/N8OHDr8sDaW1tpaqqin529xDYFvdLly6xY8cOtFotycnJGI3Ga0qIe2vwdj382L4oN+K/nDlzhqFDh/6knfkrYW/A92NB7GL/nyhapk6d6uBSKuK1115j/vz5wPcrWlpaWpg3bx67du363p8VbA9FfHz8T0qs+qmLltLSUlxcXG65UhcEgZMnT7J3716CgoJ6RY4Vc40KCgq4dOkSarVa8rjx8vKiqKgIuVzO4sWLv5dbcENDA+vWrePw4cPI5XKSkpLQaDQ2I7Rusm1nZyeTu0P9boSKigq++eYbtFot8+bNk6TSTU1NDmMws9mMyWTCarUSarGQ0NREhEaDh1JJ44oVuKjV+H/5Je8GBdHW1kZ8fDxLFi/G54UXsEZGItPrMT70EHh7o3r3XczTpyPExdHU1ER+fj6Fhw9TvX07gqsrluRklP7+ODs5Ufr117hOncrylSulnbLqnXdQpKdjXrgQ87x5IJPRVluL6qWXcHn//e9+OYsFzW9/i2AyUfTgg3yyZw/p6ek4qdX0ralBPmMGarWa6Oho4oOD6fvFF7gaDOj//W+H3CT1X/6C6Ze/ROh+icrq68l86SV2HD6MsHIlcUlJLFmyxNYFOneOonXryB4wwMZn0OtRXLiAU3s7UXfcQeyqVVJgHYDqo49oTk5mY0YGJUVFDNbpWOjkhBNgfPRRhCs6a+q//hXjffdRaTJxZP16zMePU6PRQEcH1kGD0Pj5Sb5AQUFBrDKZiLzrLptEvAdcy6cFbM9BVlYWa9asoaCgQJLaKxQKXF1dHQi319qpZ2dnS34YFotFKpY9PT2lrqYgCNTU1EhdE/v37ZW2+B0dHVRVVdHe3i6NeDs6Ohg9enSPhotge8fW1NSQlJQkOenm5eU5+DW5uroSEhLC6NGjv5eE+Eb4KX1ReuK/lJSUMGLEiJ+UA3kl8vLy8PX1ve54/3bjx+q0/CilYWpq6g96fJVK5ZCS+n0hOqD+v4zvew1kMhljx45l7NixVFRUsGbNGvR6PQsWLECtVkskWLElLQiC5Go5evRohg8fjq+v71UtYzEu4IUXXnCIC7gS1yLbAnh7e5OYmMjcuXOxWCykpKRIxnCJiYmSI3FvIM74ExMTyc3N5Y033qC6uhpvb28GDRpEeHg4AQEBxMbGotFocHV1xUWtJuqRR7AOHoz1kUcgPJwAQP3KKxife45JxcUMHz6cgrw83ps9G6vBwOwZM9DExJB/8iQFZ86gv3gRc3fHydfXl0S9njtTUvB/5x2wk2orv/gC63vvoe3bl61bt7L+448ZWFbGUrMZ2aZNYDeHd/v4Y4qXLkXIz6cgP5/CXbvoysxEsFiwzJyJ38WL3HHHHTzwwAN0fPghW0JCEIA506cz8NQpZFlZyBQK9B9/7ND9kV+6ZBtL+ftDZyfqNWsw6fW4eHgw4PHHyWpp4aOPPuL999/H39+fCS0tJD7xBNNjY4nYuxd5QwOm995D/f77GK6I6pDV1SFrbsZ92DB+2dKCMi+PtBEj+EtaGsriYma1tODU1SWNdHRlZcgrKrB2dBCYnY2/mxsj3nqLEJMJ5cGDmB55xOH4Hfn5bP3zn1nz+ef07duX+fPn99g1NJvNDoRb+/stKCiIBQsWEB8fT0VFBbt27UKhUDBr1qyrsnJ6gv1zKAgC4eHhjBw5kvT0dH7/+9/T2tpKQEAAEyZMoH///ixYsOCartCApAoUk6fVajUymYzq6mpefvllnJycpHGPyGsReYN+fn7S6GjRokU35dd0uyDGAPwU0Gg00lhY5L+I2UyhoaE35L/8WPgpr9EPjf8T4yGDwcDYsWM5dOjQbfksmZmZREdH/6RmQT91p6W8vBy1Wn1biVxdXV189NFHHDt2jPHjx3PPPfdck7jbGyJwVlYWX375JR0dHURHR0u8GUEQJJM6kWx7o1ZyV1cXKSkp5OTkMHz4cAICAhjTzWkQ/SXErkllZSVms1lq5wcEBBAYGEhAQIDk71NVVcWhQ4dwdnbmrrvucnDvVH3yCdbAQCyzZ0v/Txy11E2bxvbt21EVF1N9+DBWi4WuadMoKCjAbDYzYvhwflVZidvf/gZOTjYTuc8+QzAYMC9fjtUuM0vklhiff96WqrxmDTKjkcyCAj53d6dFrycqKsomH29qwpKXR2e/fozw8yMpN5eoBQvwungR4+9+58hZqa5G9eWXGJ98EuPXX7M5JYXMkBAGmUzMe+QRNHamfC3NzZQ99hhZkydTuWsX1pYWhCFDUCoUxFZXE/X73xMbG0tubi7Dhw8n57332Hr+POj1LHV3J+6JJxDi4nocFwGoX3wR89Sp6FJSyImLI8fbm7KyMmT79qEbO5bC4mJMJhPJyck8+MADhP/971jDwpAZjWhXrya7ro5BAwc6ONzaQ/PCCxiefhrc3cnIyGDjxo00NTURHh6OIAiSV4pI7hZHOjfqAmi1WjZv3kxubi7R0dEsXbrUgaMhjo5yc3M5c+aMlKOjVCqJioqSRi3ifS36ApnNZmbPns3w4cN7tWiJnjCXL1/m8uXLtLe3I5fL0el0zJw5U/JRMRqN1NXVkZSUdMNj/tC4ePEiCQkJ/zVmbidOnCAhIeG2+798H2RnZxMcHHzLQoZbwf8znJYtW7bw29/+loaGBry8vEhOTmbv3r03dQyLxcKQIUM4fvz4bflMWVlZRERE/KS2zD910VJRUYFSqfxBJHOCIHD69Gl27959zdGRPaemq6vrO6VJUZFE5APw9/cnODiYrKwsOjs7b5n8CN/ltOzevZvNmzfj5eVFUlISKpVKytwICAjAx8fHIeBS/K+nHKn29nY2bNhAaWkpY8eOZcaAASg++4z8ZctsZmgFBXS2taE8fBjzlCn4Wa0EnTrFiCVLCC8vx/z730sBfgCX33mH7RkZOPXpw12dnUQkJGCeMwfVmjVXKXjkL7xAwYIFFG3YQEFmJq39+kFnJ7LmZjzvuIOwsDAKCwtpampiVG4uY595BqcvvsBz9GjMK1agSEtDVlqKecUKh+Nqnn8e8x13oDxwANPixZiGDaPy/HkO/P3vbDOZMBgMJCUl4evri09hIQmuriQKAiEPP4ysW4Kuee45DM89B90LT1paGsP79cPp4YcRQkJomzWLzVVV5OTkkODtzTKrFeUf/kBVVZXUNWk5fhxFdjbWxETcRo0irrtgiMnIQG7nWAuQl5nJjl//GpPBwMyXXmLQnXdiNBrJzc1laHm5baTWPQ4UBIHay5cpefFFsr29qe1OyhVD/iIjI6moqKCmpoaoqCiWL1/eaxKpPcRsqwMHDrB582aam5uJjo6mT58+uLu7Ex8fT2JiIlqtlqioqF6pZYxGI7t27SItLY2goCCWLVtGYGAgDQ0NkvGaKCEGJE+YxMREoqKiUCqVNDU1UVVVhVarJTg4mJCQEDo7O2loaCAxMfGmf8/bjf+2ouXkyZPSBud2+r98H2RlZREaGtqrUM3bhf9nipbbAUEQSE5Ovm1FS3Z2tvTi+KmQlpbGsGHDfrIWX2VlpZSP8kOfZ/369eh0OqZNm4Zer6egoIC8vDypMHBycpLUYjExMddUKVitVlJTUzl69Ki0mFxZeAqCQH19vWS4Vl1djcVikcIX7RN15XI5hw8fdlCCuLi49JpwZ89pKSsro6KigpJDh3BJSGD2vHkMHTrURuj87DPMI0ag2rcPwd+fUwMGMBJbqrFDwdDejuYvf8EaGkpbSwtfeXlR3tDAsMJCgh54gKL6eokAKSsrQ1laSpSzMzHLlxMzezaerq627J2//e27bCFA+emnpO/eTUp7O7qkJH71298S1aeP7WftiL6dnZ2UvPUWRfv3kx8bi7F7MZfL5USfO0fU735H3MCBaDQam+plzx4GX77M3DffRDV9unQ+xf79Nrdee7LvunUMWbsW06pVdC5bRlFxsS1EsrCQ2s2byXR3R5DJGD9+PJMHD6bf0aMEXrpE1+bNjhJknQ7Nq69+N0YSBJTbtqE4cQK0WtrffpudO3eSnp5OQEAAvm5ueO3eTfaIEbZOXbeRXEh3oRX9n//g5+9/zeewpKSELVu20NnZyfTp07njjjuu+tlrubWCbXRknz8kujL7+/uzbNkyQkJCyMzMlByfrwcx7FPs0FRWVpKdnc2QIUMkV9jeqI5E2CdPg20MP3jw4J/UdBNs9gNJSUn/NQ609kWLPb6v/8v3wQ8pC78Wfi5abgKCIDB48GCOHTt2W46Xm5tLSEjIDyqpuxHOnTvHkCFDfrIXhOgBcavOlTcLvV7Pu+++S2ZmJlOmTGHUqFHfS7KXnZ3NmjVraGxsJCwsDGdnZ4kI6+Hh4dA1UavVNq7JFa7II7pHLWazmb1793Lq1CliY2Mlgy34TgkkFicdHR3SZ/Dx8bElAndLu1X79oHVSvXQoaxbt46WlhZmJiUxcdMmrEOHYnz4YfDx4dzJkzZ3WLuCwWI08v+xd97hUdTrF//M1vTee0IviigW9Fqx3mv9KQp2xXa99oZgVxCxK4goiKIiiGIvWLCh0jsEEhLSey+brbPz+2Myw2wSIGWTLMh5njzcGzez353dne+Z9z3vOZWXX06W0UjmqFHUKUGHhYXUlJVRFRZGeno6t956K0llZfjddRf2xx5DPOcc9RjGefMQTzwRtzIBYrdjnDMHw3ffYfvoI+pbtUa///472z//nOD0dKJaRaNCUxPBW7YwtK6O1HfeIW3QIPXuUf/rrwiNjbhaRfXC7t2YFi5EyM1l7X//y5e//47BYODSSy9lcEoK5iefxDZjhiwgXrmS3A8+YGd1NSHh4YjHHYfZbGbgwIHyucvOxi8wEPGss7BVVfHd5MlsLSlhYEwM/3fPPQRovHQATC+/jHP8eKTkZPQrV2L45huqzziDnO++I3PwYAoaGtSplsbGRgp//JGIUaMYf9VVnJWXh66iAufNN2P47jvE445TfXL2B2UT+vrrr/nmm2/UO2xlU9Xr9WrraMiQIZ26GaqoqODjjz9W09avuuoqtZrTdoTYbrd7jBArz+PN1kBRURHFxcWIokhkZCSJiYn9dn3csGEDI0aM8BkH2n2RFi2am5spKSmhurq60/4vPUF/JE+73e4Oq809wGHS0ll0Jvemt9Hfrrx9TVoUSJLEmjVrWLJkCXFxcdxyyy37dAJVUpSVNkt5eTmiKKqhlooh1/bt26msrOTYY49lXKthmkJO9nV+27bnampqyMnJYeXKlaxYsQKA4cOHExMT45FvtM8LucUiVwAU3xG3G5Ys4afnnuOPf/2LAa3j4QCr77qL2lGjyLPZZM1Efj6GbdtISk4m44EH9o7bOhyYH31UrpwIAlWbN/PJo49SXV7OGffey0lXXqleQFQdykMPgduNa8kS8v/4g6zycnaOHo1Nr8fhcNDc3MwRyckMy8mh7vzzWf3HH4Tv3MnEUaNICgzENX48Unr63tdlt2N+/HHszz2HUFWF8e23kaKjEUeORJefj+2KK8jPz2fbtm18/vnnlG7YQOygQQwaOpSk3bsZnJTEgDvuIGDaNMLnzfPUlLS0YH7mGexPP43xgw8QiopkZ1qjkbwXX2RJZCQOh4MLLriAUaNGUfr33+QuXcrOsDDq/vwTKTkZ96BBhDkcDK2vZ8C995LSGpYI4MzKomHBAqKOPJIfv/2WlRERxA8fzuXjxpHwySeyFqiDz1xVVZU6qlxWVoZOp0MQBHUaKCoqijVr1lBVVSW3BPcxkXMgNDQ0sHPnThYuXMjOnTsZM2YMwcHBKqlTUoj7YvOuqqqirq6OgQMHUl1dTUlJCTabjYSEhD5vf6xfv54jjjjCZxxoO0NaFHTF/6Un6I8Jq8OkpQvwNmnJzs4mJiamT/uBbdHfrrylpaW43e4+CdzqCAUFBdTV1bFixQosFgtjx46lqalJ1bQ4nU5cLhdhYWHEx8cTHR1NeHh4h1oT5eKmxAXExcUxYcKEdmRIWzX55ZdfPO5Uw8PDPaomSpRBTk4OJ554opoptC+Ynn8e51VXISUmIvzxBxWLF7NLktgVHExlaKgaJGl0uThFp+Oi2bPJsFoJ+OgjxJNOQv/bb9hfeMGjrWOcPRvXOecgxcTISc0GA86zz0b3ww98O3y46hEycuRIKufMoWDUKHQVFbJ494gjyEhLY5jdTso99+Dv709DQ4PsTvr++9gffBDjsmUIJSWUX3YZSz/7jLK//+bEu+/mzDPPVF+rcdYsXKedRst337G7vJwdI0eSX1GB8OOPuMaNQ98aWjl48GAGm81ELF/O5ro6vtywAd1xx3HpNdcwLDOTXeXlDLz1Vs9z9tJLuENC0Oflqc60drudwvvuY8dJJ5FTWkpzczO7d++moqKCAZWVTDzySEafeCKht9wCBoPscPvww9inTQPtSLEkYZo4kRo/P0L/9z/crQS1tLSUz265hfKhQxk2erQ6aq9NCI+OjlYFt/Hx8RgMhg7fe2Xsf/ny5QQEBHD55ZczoLWlpn2MdoS4srJS/W9KoKAkSYwdO7Zfr0dVVVXU19d7CModDgelpaWUlZXh5+dHYmIiUVFRvV4d9jUH2q6QFi16U/+yefPmTjkwexOHSUsXoJCWP/74wysnbPfu3bKIsBPR572F/nblLSsrw+Vy9Vq0+YFQUFCATqcjKCiIuro65s+fT25uLscccwynnnqqGiynpN92JbJh27ZtzJ8/n9LSUhISEtQWlDYVurGxkdNOO+2Ax5IkiVWrVrF8+XJiYmKYOHGiWsZXs4d++YW8v//GnpyMfvNmpMRE4k84geEbN5L+3HNERkbKn1tJQrz/fp4XBKybNjFmxAjOmzmTgMWL27UqhPx8jMuWIYWGIhYXk33OOWTX1pL7+us0jB2L0Pq50el0FK1eTZDdzjUJCYy+8EK5jeN2y5u5Rt/S0NBAy7JlpObnI7hcOK+5BvewYerGb33iCb5YvpyvvvoKu91OWlgYoevWIYWHE/CvfzH4uONk47Vff0UYO9YzNVkU8b/sMsRhw2S/lvR0mpubWbZoEXmLF+N/3nncc889KsFsWLCA3PnzyTzzTArMZnXs17+igoH+/gy49lpV3yTU1GB66CFyXC4WDx6MTRQ577zzGDNmDMavv0YKDkY8/XR1Kbq1azG98gqO4cNZffbZmP38yM7Olg3eCgsRqquRWm3lKysrycjI4Nprr92nvmt/Pi0KampqmDt3Llu2bFHH32FvCrES9BfdgX6mP0r9bVFZWUlDQ4MHadGisbGRkpISampqiI6OJjExsdfu8n3Ngba7pEULRf9SVlaG2WxWr0vdJYD9kTzdV6TFdyz8egBv9wV1Ol2/+7T0t1dMXz2/KIpq8rbFYlGTuO12OwaDgfDwcAIDA3nwwQfx9/dXbfSjo6M9CEJbKFUTxaxOuVMWBIHw8HDOP/98UlNTWb9+vSpWvOCCC9QL4bp16zr9GtLS0hg3bhzr16/n+uuvx94a7jdgwAAGZmRw1Lp1XDJ8OKb4eJzPPgtmM6Zp03A+9xySZqTb8PHHmEWRSYJA9GefsSEnh2efeILQrCzGn3sugfX1soA4K4uSl17CHRqKe/Ro9HFxpBUWMqy8nNPuuosAzSi1UFCA/48/Yrn8cpaFh7N0wwaGWixc3tSE7pprPCo3pr/+InzOHFpmziQ7Pp7srCxyvv0Wx9atYDTifvllEhMTufmmm4jcupXfXnuNslNP5YyrrlIntoTKSozV1TgUwiJJ6H/8EeOCBbjOPtvDByUgIIAzCwrIvO02Fv/4IxdeeCE6q5UjRJGBDgfpTz3FySNGcKUS9eByyfk/re0wLBaMs2YhNDRASAjJr7zCQ8gVgO+//57Hp0whY8cOLn7/fVxVVexesYKcxYsp9vdHqKjAPmQIlk8/5eSTT+bII4/kogsuIPjRR7EvXuxxXqqrq1m6dCllZWWMHTuWs88+e58VUGWEeNeuXezZs0cNFDQYDGRkZHDeeeftv43YAXzBc+NAawgJCSEkJERNns7KysLlcqnVA28SDF84H95GW/+XkpIScnNzCQ0NVaeAuvKa3W73IXeOFBwSlRaAUaNGsXLlSq+8UZ3xCOlt9HeUQEVFBTabjdQ2vhjdgSRJOBwOlZQoPw6HA51Oh7+/v4cQ1t/fn9LSUvR6/T7vbktLS1m8eDEWi4XRo0fT0NBAYWGhKrLUVk0GDRp0wE1i/fr1fPPNN4SFhTFx4kQKCgpUIS7IQuHc3Fx5oqXN2LWS1jto0CBiYmJwuVx88803cvprfj6Xh4aie+YZdXRZt24duuxsXFddJR9cFDG88w7GJUtoefddvtm6Fb/Wu/+mzz+nafRodrT6tJw+cCATs7JIOuss3Pfdt/cFNDVhnjlTboOAauKm/+03bNOmIWmqHrv+/JPPp03DMmYMo0aNwpqfT/kPP+BqaKBu1ChihgxRc4EGxMYS9uqr2KdPl9e+di3GZctwR0TgHj0a55lnsmLFClauXElcXBzX5OcT/OijEBKCbsMGjJ98QtNxx5G3fDnbzzmH3NxcNR9KV1tLWn09A269FWdeHmfs2kVjXBwf79xJTm0tR118sUeytnH+fFlIPHgwxkWLEPLycN54I8bPPsN5ySW4kpIoLCwkKytLHiX/4QfqkpLYkZODsaKCc0eN4vynnybt228R//MfrAkJZGdnc+SRR8qfmUWLcA8ZgnsfXlHKqP4PP/yAIAiMGTOG8vJyysrKZLGyILQbIfbGZt2fDrAKKioqaG5ubtfe2h9sNptaPQgMDCQxMXFvVbEHWL16Nccee6zPONB6o9LSEXqif+kP3c/h9lAX4U3S0t3cHW+iv6MEKisraWlpIS0trdN/I4qiBylRqibKKFxbrYnixNkROjtybbfbefPNN8nJyWHcuHFccMEF3dYBSZLEzp07mTdvHlu2bGHIkCEkJCQgCII6dj148GAyMjI6VXYVysvJeu45Po6MxGQyccUVV5CWlIR5yhRqn3iC3Tk55H7+Ofl//onTbkc85RSEoCBEUeTss89maEkJkWYzrv/8B2HPHgzvvMMPLhd/rFlD3IQJTJgwQdU5mJ57Duf11yNFRakbumvcONi8mZz//EcVKzc2NmL49VdcJ55IsNlMxc8/YzEYOOWCC/h3SwsFl1zCkCFD1NdgmjkT5zXXgMWC6b33EEeNwvXvf2OeMUMlMgp2vP8+8z/9lEKnk/jaWuLT02HkSAI3bCDj/PMZdOKJZGRkyBdSScI8eTL2Bx7A9O67FFZXE/fkkyAI6siykqxtNpsZf/rpDF2xAveIEThWrmTniSeyUxTJ27AB144dcipzawzD4MGDGWw0EvXTT/JVz2Cg5brr+GHVKlb/9BOpZWVcMmcOgYGBe0lLfT2m117D8cQT6utxu90qCcrKyqKmpkadQDMYDMTGxqohmSaTieTkZGJjY72u6egPfUJblJeXY7FYukRaFEiSRENDAyUlJap7b2JiYrd9VlatWsXxxx/f76PXCnqLtGjRVf1Lf7TQDpOWLuKoo47ymqalp7k73sC2bdsYOHBgv3kRVFVV0dzcTLp2UgT5AmS329uRE6Vq0paYBAQEdOvi0tXpJUmSWLt2Ld999x1RUVFceeWV+2wdORwO9rT6gOTk5NDS0qL+t5iYGAYPHkxjYyNut5v169czbNgwLr300i4TSNMjj5B/3XVkl5aydetWfv/9dxqzskgZNowR6ekMz89nwNlnkz58OH65ubiuuQZonVwaOVJOOX7gAUxvv40UEoLzxhsxvfoqzhtvJN9m4+OPP8Zms3HJ8OEMrqwkS5LIWbGC3ampOCMjMaxYgTRuHCnp6WolKHLzZoTyctn+3uHAcfPNSCEhbLvxRj6Oi8MlSdxxxx1y+nZmJvrvvkOw2ZCionDecAOiwUDp44+zY9gwsmtraWxslL9zbjexv//O4LQ0MtLT2TxsGGs3bybV35+JRiMBDzzgcW4MS5agX7cOKTIS5y23sDYvj2OPPRbTSy/hvPxypORkNVNp8+bN/Pbqq9S6XMQPHszI009Xx3qHLlgATz8N2vempQX/Sy9FHDsW5223eYQlmh97jNxrr+WTb76hqqqKIUOGMOHMMym8+252XHABWeXl6ufZ5XIRGRlJfHw8KSkpREVFqRVB5V9Fz2Kz2SgpKaGyspLIyEiSk5O9VhnxBdJSVlaG1WolIyOjR8fRJk9LkkRCQgJxcXFdutH4J5IWLTqjf+nrEEdJkpAkydv71aFNWkaPHs2vv/7qlZJhb1jYdxX9HSVQUVFBXV0d4eHhqt7EarUiSVK7qklgYCBGo9GrPdSejFyXlZWxePFimpqaOOqoo9SEWm3qbEZGhjqmvK+4eaU9tGPHDpYtW4afnx8TJ05sJ0622+0erSOr1Ypuzx55Iz/5ZPnOf/BgYm02jO+8wy/FxfxcV0fcmWcy4YoriHvuOdmTpfWis27dOk765Rdo1UM4b70VKTISYfNmKn/7jczRo8nOzqaiogLR5SJn8WJqgCOPOYarp05lyJAh+H/xBVJCAuJJJ+1dqMWC/4QJiEcfjfOmm5BaX4fh88+RIiKoGz2anTt3snHjRvKzsxn888+EjhpFzsCBOFvbH/r6ejLq6hjw3/8yaNAg2RbAYsHvppuQkpKwT5my18FXkii9/XYWpaZidTg4//zzOXrUKAzvvYfxww+xvfMOYloahYWFfPPNN1BdTfPmzYitkzwREREMM5sZ8f33JKSl4Zg5kw0bN/Ldd99hNpuZEBtLRlwc4rnnys/ncmH4+GMM33+P6+yzcV17rcf71PTNN+zOyiIzNpb8/Hyaa2sp+PVX0g0GhqSmYr7sMlJSUggLC1M/14GBgfj5+e13g9QKcd1uN9XV1RQWFuJyuUhKSuryptwWmzdvZvDgwf3qAFtWVoatNfbBW7BarZSWllJeXk5ISEins3v+/vtvxo4d6zOajb4mLVq09X9R9C9r1qzp0xbaYdLSDRx33HF8++23Xmmn9KaFfWexY8cO0tLSevXuSls10epNlCRinU6n5ukoWpO+urvxxsi10jras2cPp59+epdaR1rSAvK52rNnD2+//TbZ2dlER0eTnJyMIAiYzWY55XjwYAYMGEAAyP4iiicLQGOjPD0zbhyO22+H4GCKior45P77aY6N5aKbbmLUqFHgdlN4//2ImzaxbeJEdjc3y06tkoRhxQqir7qKIcOGMXjwYGIsFvzvvx/x2GNxPPQQ2zIz+fzzzzFLElfX15P4yivK4tEvXy63P+68U808kiSJytxc9kyfTua//iVv5I2NxJSWErhnD9aRIykKDmbgwIFcffXVREVGeo4Pu1wYFy1Ct3UrUkAAjmee8TiHhi++QAoPRzz1VBobGnhvyhRW/fknekli4NlnY4yIUA3RRJeL8Zs3EzBzJpjNCIWFGOfPR0pJQZeZif2llzxCGBsqK/li0iR2jxrFmGOO4SKdDr/Vq3FcdBFVH33EtksuUdOOXS4XTpuN2LVr8bviCpLi4jhmyxaCa2vJO+ccjvzpJxwzZmAKCOjWRriv6SHtphwWFkZSUlK3vJ98wba+tLQUu93uVdKiQJIk6urq1OTpuLg4EhIS9rkB9idJ6Ai+sJ62+he73c5xxx3XZzoohUd4Wc5waJOWk046iU8++cQrY4F9ZWG/P2RmZpKSkuKVD53L5epQayJJEn5+fu3aOUajkdraWurr67vVw/YGvDlyLUkS69at49tvvyUyMtLDXbQtFMv1b7/9FsDD4TYqKkqtzuzcuZM///yzw7gA0wsv4Jw4ESkpSd3Y9T/+iOvCC3FdcYX6uLrt29nz9ttsOeoofv75Zypzcoiz2RjkdjPisccYPGwYAwcOlN+Td99FPPpo3KNGQW2t7MsiSWC343jySY/XYH3sMRZFRFBQW8spcXGctWcPeYmJ7M7OJnPoUNVGXhAEEjZtYsDVVzPouOOI+PNPXD//TPB112H46Sf1uGVlZSxZsoSG1as59/TTOf6WWzB+9x36v/7CeeWVGD/+WK6wBAZSW1srZwNt3UrZ0qU4TzsNobSUwOxsMk45hcFHH42wcSOfGY24XC4uueQSRo4cSd4rrzDwyCMRjzoK07x5SAEBOCdNwrh4MeLYsXtdfFshvPIK2UcdRfaGDfy2bBlb3W5Gn3465g0b8D/qKKKHDlU1JoGBgSQsW4Z0+ukE7dmDaetWnNdcgyUtjbq5c0k+9lhETTJ2V3GgkWdJkqipqaG4uBir1UpiYmKXJmr6Y3y1LUpKSnA6nV3SuHUHSvJ0aWkpgiCQmJhIbGysx/n1BZKgQLE88JX1gNyC+/PPPwkKClInuOLi4nrV16YvScshMfIM8rSI0+n0yrH6e9y4O2uQJAmbzdaOnDidTvR6vUpIgoODiY2NPWDVxBfOgbcgCALHHXccxx13HOXl5SxcuJCmpiaOOeYYGhsbKSgo8BhNTUtLIzIykgsvvHCfU0epqamce+655OTk8PrrryNJEpdffjlDHA6k0FCkxET0y5cjrFhB7oknkqvTsaOqinplugeI/vtvMm6/nbMCA7k1NRXp8svZlJnJ/I0byS8q4oSTTiIgIEDWn5SX4x4yBOObbyLU1uK89VaMr7+O4/771eM1NTWR+/XX7K6vp8bhIGD9epbp9bwgSaT99hsTnn2WSSeeqBJ73dat6OPjERMSML72Go2nnELRffdx5Cef4LzzTvW48fHx3DtpErraWr6xWnni1FMJGTmSQeeeS8n8+dTX1+NureqEh4czZMgQziooIP7JJzF//z3iqafimj1bFtlOnoz92WeZYjBgtVr54osvWPLBB6StWUMyELB2rezjEhWFUFmJpaSEHQ4HWUuWsGfPHqxWK2JNDQFbt5L8/ffEjBzJBTNmcF1UFGF1dcQEBeFoNctTNjqhrAxTbi7U1uL8v//D3prnJFRXE5SVhXjvvd77sHUAQRCIiooiKioKh8NBSUkJ69atIygoiOTk5AOOsx4q38POwGAwkJSURFJSEi0tLZSUlLB69WrCwsJITEzsV5fyfcFX2lQK9Ho9RqORY445RtW/bNiwwSv+L76AQ6bScuaZZzJ37lxiY2N7fKz+doMFOUogPj6+3aa5r6oJ4KE1UVo63VWP19XVUV1dvU8zqd5GeXk5DoeDlJSUXjm+3W5n7ty57N69m9NPP50LL7zQ41x1NWW7srKSt958k+1LlxIyZAgZtbUwYAAMHEj6li0MuP56Bh5/vOqyq//uO2huRp+VhRQXh/O66xCamjC+8QZ/nXceAwYMYMmSJZSVlXFuYSGnjBuHITsb+3XXURoYSM6nn5K9axflrdNNkiQRFBDA8N9/Z+jAgaSmpCDdcgv4+2P46itKHQ4WFRXR0NDAv//9b4495hj8brsNoqMRjzoK12WX0djcTP1PP5HR0oLrmmvUjJvs7GzyZ83C7nLhTk5GGjYMP39/8nJyCN++nfGzZ3Nka3ozgP7PPzG99BKuc8/Fef310Dp2aVi6FCk5GXHs2L0nzuXCfN11fFldzedRUTjNZlJTU3E6nRhXrsR57LHEpKSQmJhIUlISUS0tDH7kEVouuwz3TTfhFxysbhrmKVOwP/64R4Cibt06zA88gOOeexAvvtijxSTMmMGu449nSGu6c3fRGXO5tpAkifr6eoqKimhubiY+Pp7ExMQO74Y3btzI8OHD+zVrR8kd8oYFQlehVKqU5Gm73c6JJ57oEzb+brebtWvXcsIJJ/T3UjzQUTVqX/oXb5Cuw5WWbsBoNHq10qKINvsDkiQhiiL19fWyS2mr5sTlcqlVk8DAQEJCQoiLizugULAn6+gv9Halx2w2c/fddwMyQZk2bRqRkZFceeWV+/TnURKis7Ozyc7Opry8XF1jQEAAx5SUcNURR1CUkcEKnY64hASuGjmSqIQEnIpYFKCyEtPs2YinnYbjzjuhdWzZOGsWjrvvhpwcgoKCGDduHLtfeonFa9bwxK5dhCYlMfz990lLSmLkunVc+OKLRMfEyBcdqxW/W25BysjAMXUqktL+am5Gv3YtMdOmcS+y6d73S5bw1M03MzAtjUtmzsQhCGSvW8eWTZsofe89DP/5D0ybJmfcREYy8pdfuCQpCebNUwkIgPH112m+6y4+37KFpZ98wvCMDK6orMT/p5+wfvwxaM9jQwPS9u3kHHssWcuXk52VRcO6dZCVhWg2Yxk7lmMGDSIhIYHExERidu8mJCkJ1xVXEBgYiKmpCdO8eQjFxbgeeADz//2fx3uj//FHXCefrBIWXXY2xvffR/L3x/nf/yJeconH44Xdu5H8/HD0k62BYnIYHh6upilv2LABf39/kpKSPPxMfKHS0p+GbtpKldPp5K+//mLTpk0YjUb5s9KPlYODycQtKChIjZ+ora1VU8B7K/+ot3DIkBaTyaSaVvUUfeWIq1RNtCJYm82m/jdJkoiIiCAuLq5HVZPuoL/Lh33Znjr22GM59thjqaio4IMPPqCxsZHo6GgqKirYvXu3x0h0bGwsgwcP5j//+Q+xsbF7AwkrKjA9/TT2+fPJCAriVKA4P593J02i8ZRT+L/t2xk5bBiGJUswvv8+9unTcY8ZQ319Pdlr15Lz3XcU7t6N6403KC0tJS0wkME5OQyxWJi5bh2BwcHk5eWxdOlSKr79lpPuuIOY2FjZmG7pUvTr1uFOSMAxc6bHazO98QaO//0Pt9tNSXY2ubNnU15YiDk6mg0ZGXx45ZX4+flx0UUXcVZ1NUyeTPoll0ArSaC2FiEiAvsrr4CmmiDk5yO43ZiHDWPCgAEYm5vZvmkTM4qLYcAAxm7ZQkNDA7t378ZisaD/6y+sw4YR9vHHDLJYuCgnB+Gss4gJDKT+kUfILy1lzJgxslDa5cK8eLHsfNvSgvGttxCam3Fedx2m119vR0Cw2zH88gv2GTMQSkowvvMOUnw89qlTMT/xhIeOCJBzh955h7rJkxFap9T6E0ajkZSUFFJSUmhoaKC4uFgNbe3rwFJfh9FoxGQyccIJJ6iVg5ycnH5Lnj4Y3XkFQSAyMpLIyEh1BH3Xrl19pn/pKQ4Z0mJsFfZ5A97cMCVJUm3qtT8ulwuDwaC2c0JDQ4mPj1erJjk5OURERPRr/pEv3OH1JWJjY7n33ntxOBw8+uijbN68mdNOO43x48cfkDCaZs/G/txzoBHkpv/0E/e99hqWAQN47+GHefH33wmMjycuIABh+XJYvpzQ0FAGpadzSmkp8QsXYqiupvrJJ4kbOhQhLg7npZcitWpQ0tPTefiyy3AaDHxcVcWH11zDCVYr5z3wAAE7duCYPBm73c6ePXvIysoi96+/cOzZg2i3Y9i+nSSXi4HXXcfEVasIfvhhtcJjsVj4dMEC5q9YQWJICP976y2MFRU4b7oJ/a+/4j7tNA/CAmB66y0q7rqL3JkzyV61itzUVOwBARhqa2lIT+fPP/9kyJAhnHzyycRXVREZFIT7pJOI+PxzhLFjEZ96CsM33yBdcQV+KSkUVVSok13GhQtxXnUVxoULVddbKTUV4+zZOG6+2aPFA2CcNw/H5Zdjev55MJtx3HsvBAdjXLAA57XXtnu8fvly2XjPB9oLbREaGkpoaKgqSN2yZQvNzc3U1NQQHx/fbzcTvrg5K5WDQYMGUV1drTpVx8fHk5CQ0Ccbry+el65AcR1PSEg4aPQvhxRp6U8hrtPpbEdMlKqJdkInPj6+U1WT/hbC/pOf32QyMX78eI499ljWr1/P9OnTCQ8P58orr+zQJVn/88+Ixx+P3WQiNzNTNq3buBHn+vW4t23DsH078UcfzS2zZuF84w1+GzKEsOBgJk6cSExMjJzW/L//YZw1C0SRgiuuICopCcMPPyBppzUkCdNbbyFcfjn/9+GH7DjmGL5vbGTW3XdjFgSGu1xERETIzr0DB3Lhb79huu469KtW4XzsMdxHHIF+1SqE0aNxaRKDAwMDubmyEstVV/H38uU8GR9PSEYGE+rrScnJoei008j+9Vd1hJjsbKSqKkKvuIKI448n/IYbODcxkcFLltD86qv4paaq6doCYL79dqToaKSsLJwzZsjj0hYL+rVr98YOtEKoqED/++/ocnJwXnUV7uuvl39fVITgcCC1mWYTsrMx/PYbQmOjLOBtfX+E6mqE0lKPkEkAamsx/P67TDA1FTRfg1aQunr1aurr68nPzyc6OpqkpKQ+H3+WJMnnNi8FijVDTEwMDodD3Xj7Inn6YCctWvQ0/6ivzsNh0tIB9qVpcbvdHhM6SltHFEWPqklYWBgJCQk9sjT+J5MGBf35/MpzjxkzhjFjxlBRUcGiRYuor6/n7LPPRq/Xk52dTWFuLvo//sB1xhmYd+5Urf4v/PFH/I46CmnIEJwvvwwGA8b33kN8+GFOPeooqqqqWLx4MbU5Ofxfbi7HVFfLm25iIuLatZjmzcP2zDOUFBeTnZ1NVlYW9T//jFBUhJSfT9CJJzJ42DCuTk3lqeZmyh98kMVLllBVVUVCQgKjv/wSQ309zuDgvX4xTieGzz+X2y4aGN94A/e2bWQPHMjOM88kyGKhtLSU28ePZ9AZZxC2cCGxsbFkZGRwVkgIg7/7jro77kC68EICWo0Fddu3ox82jJDRo/ceuLYWv7vuQoqJwfHQQx5VKNPcuTg04YkA+t9/x/T44zimTkU85xyP/2aaOxf7I4/s/UXrKLnx3Xexvvkm0rBhnq9pzhxZL6TAbpcrN+Xl2B98sKsfh/2ity/Wer2eQYMGYTAYqKioYMeOHQAkJSX1SmzAwQyTyURqaiqpqalq8rTiq9QbydOHEmnRwpf1L4cMaTEYDF5rDynkpLS0VCUodrsdkKsmymSO4pzZG1bJ/U0afOH5fQmxsbHcc889OBwOFixYwJ9//sm//vUvpvr5oVu4UHWXpbER8wMPgE6HfepUdaMWKioQysrUykF0VBT3DhyI/uOPWXzRRczNzyfglVeIjo6m5rff+CklBenFF0lMTGRwfDxXFRYSa7Vi/fVX0FwwTK++ivP224mKjubOO+/EvWsXPz3yCI/m5pJ2992MP+44lEcb58+nbuJEsjZvJisriz2rVyNt3IhQV0fDeecRWVFBVFQUw4cPJ6W0lLCkJOwTJsjOsFVVmN99F11uLvaPPyZEazLmdss6HYUcWa0YFyyQx7QTE9vpbBQRrNSq19Bt2cLAOXPQHXEEzttua0dY9L/8gnjCCRAQIJvsffkl+rVrEQcNwnHvve0Ii279etwDBkB4+F7Nz44dOK+9Fvfgwerj+puUdxU6nU7NnGlpaaG4uJjc3FwiIyNJSkryikfVvnAwbs4dJU87nU4SEhK8ljztyxUob8AX9S+HDGnpaqXF7XZ3qDVR/DokSSIkJITw8HASExO9HQR1QPgCafgnP/++YDKZuO2227jtttvYvGwZz3z/PSF+flw5fjyJy5cj5OWBvz/2117z/LvZs6m87Tay160j58cfKfr5Z0SjEWn4cAzAGWecgV6vZ9OqVQQ2NXHNo4+SHBOD8b33ENatA50O23vveRAWIScHyWBASktDqKzE+NZbSNHRnD9sGKNnzOCXjRu57rrrCA0NJSEwEH1mJo6iIlICAjhm+3bGDhpE8Mkn4zjnHAzDh6vTUSOGDJHHh2fOhLo6TLNmIQUF4bzsMgwrVyK1cUU1LFmC87LL5P+9aBG6rCyc11+PcfFinK0TWiokCdP8+difeQYhLw/ju+/iHjyYPTfdRNyXX2Jv65nicGD44Qfszz2H/rffMHz3Ha6LLsL+5JOYH320XdUIt1s2u3vuOfTff4/h999xjh+Pa+LEDt/Pg2UjbrtOJU164MCBVFdXk52djcvlIjExscexAR3hYCQtCnQ6HXFxccTFxWG32yktLWXdunVeSZ4+mM9LV7E//Ut8fLxX7EY6g0OetDgcjg61JoIg4O/vr7Z0wsPD1apJfX09lZWVXnFj7S58YdP+pz//fuF2c/yqVRz16afULl3KRzfeSM2gQVys0xFz443s+vVXsrOzqaqqQpeXBy4XQfPmMSInh5OOPZbEpUvxnzULx9NPexz2iu3bWXHffXw3bRplWVmMu+UWTjn2WAxbt3oE/yFJ6OfOJfvqq9nz3/+ys7yc6iFDcO/Zg1RXh3HJEuLi4rjxxhuJi4tjyPz5NL3wAtFff43Rzw9x3jx0dXUYP/0UxymnALI5nSAIGN97D+cVV2CcM0fWitx6K1JEhGzh38aqn7o6dLt3I4WFYX7kEZwTJuC66ip0W7YgJSYitRkfN3z1Fa6xYzE9/zxSeDiOKVPA35+4xx/vUDRrnDcP10knYZ4yBfFf/5JJiiBgfPNNnDfd1O7xho8+QhwxAvPUqbjOOUeu/hzkm8r+vgdaPYcS2rhmzRo1NiAkJOQfs6l2BmazmfT0dNLS0tTk6aysLLV91NW2xz+JtGih1b80NTVRWlpKcHBwn7g2+wRpefDBB/n6668xmUwMGDCAd999lzCNUPBAcDgcWCwWVq5cyc8//4zRaOTf//43oihiNBo9iElnqia+QBj6ew39/UXs7+c/EIwffoh41FGYH3mE6H//mzt++AFx0yY+mTuXx594gjFjxnDjjTeSEB6O39SpSLGxSMHBOCdPBn9/TNOmebjOAujWrgWXiyO+/JJTb7sN1/HH89MPPzD1jjsIOv98hnz2GTk5OVgsFti2DX1lJQnbthF43nmMuPxyosPCGDh3LnVz5hAYFKSScP2332IwGAj/9luct92GOyYGATDNmIH9scfU5xcEAWNFBfqff0YoLJSndlqFwIbPP8f1n/9Am1KweepU+Xf+/rK4FeRqx6JFntlLABUVGOfORTz9dBz/+5/cvgGEqirMtbW4R470PB9//43hq69wXnst9unT1QkmoawMoanJo9UDssOv8aOPcN50k/zch1DZvjPfBz8/PwYMGEBGRgY1NTXk5eV1KzagIxxqm7MgCISFhREWFoYoilRWVrJz507cbneXkqd98bz09ZqCg4MZPHhwn7XJfIK0nHXWWcyYMQODwcDkyZOZMWMGM9uWfTXYsmULH3zwAVlZWRQXF2M0GmlubmbkyJGMHTuW0aNHM2rUqG6XSHU6Xb+ay4FvkJZ/8vPvD0JZGYYPP8R5443yRq3TgSgSsGgRE+bMYYJez6ZNm5g/dy6R33/PVSecQESrNT2AbsMGpJQUddIFQLdtG9a77mL7pZfy3YAB8PPPOL//Ht2mTehHjEB0u3E6nfzrpJPIWLuWxNJSamfOxDBmjBrJYHzzTcT77sNPycxyuzF8+CGmt9/G+s47SBp3Y/333+M65ZS97rGShPmHHxg8cyaOV1/FrXXTbGpCv3GjR5VFl5WF6cUXkfz9ZQ8XzQXLsHgxziuu2Dsm7XBgXLgQw2efyf40Rx/tcT6Nb7xB4aWXotRkhIoKjG+/jX7NGqwffQRtcqKMb76JQyOmFfLzMb77LlJGBtYvv5Snkw4hdPV70DY2QGmHBAUFkZSU1Kkk5Y7W4Gubs7eg1+tVrZAScrlmzZpOJU/74nk5mAzvugOfIC1nn322+r9POOEEPv300/0+Pjg4mHPOOYe7776bxMREdDodjz76KMOHD+eCCy7o8Xp8YcPs7zX09/P3N5TX39GX3zRnDtYlS0DjoWN8/32c11wjb9RuN8fu3s3Y6mrKx41jYUICtbNmccEFF3DMqFFUzJvHtvHjyXrzTar27EG3YQPU1SGdcAJRQUEMTkkhIyODCIeDBKeTlgcekMXfW7di/PRTqK3F8fXXhGpIj1BcjGCx4B4yBJDFq4YffgCnE+sHHyBp7ddbWjCsXIn92WcB0K1Zg/Gzz5Cioii7+mri2th/m+bMkSsjgFBaKqcvJyQgBQdjf/FFz4pGbS263FxcV10lk6ZPP0W/eTOuU0/FdeGF7QiLbs0a3EOHIgYFQUMDpvnzAeRwyCOOaEdY9H/9JYdGBgfLOp5585BCQ3FMniwLdQ9RdHcTMplMpKWlkZqaSn19PcXFxezatWu/sQH/ZPj7+6vVKuV87dy5k9jYWBITE9u1P3yRIPQHkerLvcInSIsWCxYs4Iq2DpZtkJGRQUZGhsfvTCbTPzow8fDz9w30K1YgHnusB2ERyssRKipwjxqF/o8/MHzzDc7/+z+koCDCpk3jTr2exsZGvvjiC3546ilMAwYQnZXFaVu3EhMUhGXyZGL++gv7/fcTEBDAli1bOProo/F/4gnsU6cSUFGB6ZVXEI84AucVV6Dfvt2jSgMysbA/+ii6LVswLl6M69RTcUyahOHHHz0JC3vHjXXZ2fIY9ujR2J96Cv2UKdTedBNxmsfqMjORIiKQ/PwwvfACGI047r0X4+efyyStTUnY9MYbOG6/Hf3PP2P48Uecl16Ka/x4WQ/TxpMFlwvjp59if/ppkp5+GlNgIM6bbpL1M489trfdpHm84csvsT/yCKZXXgGXC8ftt6ttpq7CF++SO4I3vgf7ig3w8/MjOTn5gGLUg+VceQva8+VyuaioqGDbtm3tkqd98bz010TTIefTcuaZZ8rGVG0wffp0LrroIvV/GwwGrrrqqi4f/1BMee7PFlV/nwNfeX6PL6LViuGnn9ppNUxvvIHz4osxPvwwLaNHU3PvvZiWLKHh6KOp3rwZkO/gxg0ZQuyRR6JPTMSvshLX448jJSSQMHUq9kcfxU9TKdD/8gvioEGYXnsNKTIS+6OPgtEopyQ//7zH8+uXL0ccMgTTzJm4Bw6UyYFeLz+2rXnb7t1IDofcTomPx/7EE2A2Y5w9m8brr/cUrUoSxnnzcA8cKL/Gm29GiolBqKlBKCjAfe21HsfWbdyIJAiYX3gB1+mnq6JZVQ/Tpm1jXLAAKTIS87PPUnP88cRffLH8+zffxDlpUntR7ttvIwUEYHrtNXkt8fEHehsPGXhzQ9hXbEBsbCxJSUkdht75yubcH9cEg8FAYmIiiYmJHsnToaGhfR4b0Bn4YvXHm+gz0vLzzz/v978vXLiQb775hhUrVnTrhPuqjf/BugZfeH5fg2nOHBy3347D6VSNBc3LlhG0eTM1QMUll+AfEkJwRQXRlZX43Xoraf7+8muRJPwmTEBKTsZ52mk4hw8HWrUlp57q0dowNjVhfuEF3OPGeQhWjQsWtK9uFBdjevFFXBdf7NEiMSxbhuuCCzyFsw0N+N1+O+LZZ+O45x5oveAKhYUIdjvigAFIBQXyY0UR8333gcWC69xzPZxojW+84WnchuxM63fXXThuvx27Vs/S3NxOD4MkYfjoIwxLlmB/6SXco0djXbdOPk5HIltRxLBkCfq//8b+5JNIAwd29a07qNGb30MlNkAURTU2QHHjjY6O9jkPkv4mTwEBAQwaNIiBAwdSW1vLnj17aGpqwt/fXzUU7W/09znqbfhEe2j58uXMnDmT33//vdv21N50xD0sxJXxT39+q9WKzWbDYrHg3rYNv9paCsvLMdbUECwIJH7yCSGrVmH5+GMSoqJIbL1QmJ58EsdDD6mfZd2aNZhefhlxzBicWjdWi8VDW4LLhfGjjxgxfz62Z5+Ff/1LfahQUSGbtY0apSwO44IFGJYvx/byy0hHHrn3uA0N6LZs2TtO3eoGq//9d5x33IGrtbKpwPTmm/IUkdstj1IvXy7rYRwO7K0aEwW6tWtxDxy4d/KnvBzj22+jKyjA9uKLuE84wfPYc+Z4ON/q//oLw1dfQVUV1s8+U/OPtI+3T54s/x9JwvDtt+j/+gvn5Zdj60YF9jA6B71er1YTmpubKS4uJicnR40N8JWN0FfWoZiuAVRUVGA0GlXC19/J04e64Z1PkJY77rgDu93OWWedBchi3Llz53bpGCaTSc366Sl8gTD09xr6+8LQV6/f7Xa3i2VQ/ndOTg5BQUEE+PmR8OOPOGfOJM5gwPjhhwj5+aDX43z/fUwafYn+zz9xjxgB4eEIu3djeu89xGHDkDIyPAkLexOYkSTZCG3lSlwnn0zN2LFEjR2LNqLQ+MYb8sRMa9VBl5WFeNppuATBk7C0Htd5xx2yEHbZMvSbN+O89FKEkpJ2hEW/fLk8RRQQgOmPP0j94AOYOBEpMhLnbbd5nixRxPjJJ3LbRyOadV5zDcZFi9oRFl1WFlJwMFJCArrt2zEuWoR4/PE4L7lE9q5pQ1j0K1cijh4NQUHo//wTw9df4/r3v9uPTv/D0NcbdVBQEEOHDlWdZHfs2IHFYlFT5/VtwjP7Er5CWhRIkoReryc5OZnk5GSP5OmIiAjVK6cvcbg91AfIycnp8TFMJhONjY1eWE3/EwZfWMOh9vwul0slJcq/NpsNnU6Hv7+/bFUfGEhMTAz+/v5s2rSJESNGYDAYMHzwAe6rr8b8yy8YVq7EedVVcNxx6FeuREpK2vskdjuGr77Ccf/9mJ55Bik6Gvvjj2N6/XUcd9zhsR7djh1IYWEIpaWYXn9dNkJ79lnMkydTeumlRGpeu/6333CPHi1XKX79VTZwu/JKWbMyfbrncbdsQYqPR7djB4bly3H+3//hGj8e04wZOFsngFRYrRh+/x3HjTdifvRRxKFDKbjrLo5wuZCSk9sZw6mmc2+/jVBVJetK4uIwPf10u3YRkoTxnXdw3HILpscfRxowQG4RCYK87hde8Hi44HLJAuaJEzE//DDiiSfKQtxevPj293fc16F1kt2+fTs2m43Vq1erm3FvxgbsC75IWrRVDW3ydE1NzeHk6V6AT5AWb+CwpuXQev7uQJIk1WhQS06cTqcaaBkYGEh4eDhJSUlyCvE+vtzK74XKSvSrV6Pfvn2vw6rbLU/DKG2dVhhnz0by88O4cKFMUsLD5embkBA1ZweQzddefRWio5FCQ1UjNMOnn+K68EIkrWDVbsf43ntIsbG4zjxT3cgNS5fiuvhiT3Gr243plVeQYmNxx8Wpj9Vt3Sqb22kddQHT88/LIYq//4798cexOZ2wZ49sDNc2L6isDP2KFejy83Fce63q+aJbt25vzo8GhoULERoaMCxfjuPhh1WtjfGdd3Bed107MpL64Yfy8bZvl8XDvZDn1REOlot7f6/TYDAQHx9PeHg41dXV7N69G6fT2WuxAfuCr23I+1qPTqcjOjqa6Ojow8nTXsYhRVp6O+W5L9HfpMGXn18JtGxLTtxuN2azWSUnsbGxBLamEHcHkiRhmjoV8cQTcV1/vSqANSxaJJunKRdqlwvja69h+OUXbG++iZSSoiwU44IFHqO7QlUV5jvuwD1gAI7HHwdFuFdfj277dhyXXQYbN8qPzc3F7847cZ17rlwlUcry9fXoMjNxXH753uPm5+N3//2IRx8tC3KVtbndGD/4wHN8uKEB08yZ6HbvxvbOO6ogF6eT6G++wXnllXufS5LQ//CD7J779NO4Tz1173FEEePSpZ4Ep6kJ0xtvoP/1V6yLF3uOhldVybqcI47Y+7vycozz5iGA7PnSBzbgh9F1KBvhvmIDQkNDSU5O/sfFBnSGIGiTp5uamihuTW6PiooiMTHR6xUrt9t9eOT5YIA3Ky06na7fqwy+QBr6G263m6amJg9youiWtLlRERERBAQEeLXXLggCht9+Qzz/fLmiofy+qgpdURGua67ZK1r97TcERVhqNquPNXz0Ec4JE2QCYbFgfOcdhNpa3AMH4mjT1jHNni3rUABTfT1+zz6LThBwjRuH86679vlYoaYG41tvgV6POHIkjkce8XisYdEieQ16vVq1EaqqEJqasC1a5DFdJFRXYy4rUw3gFNM5d2Iizv/9z5OwoDHU0+nkY7//PkJZGdjtcrijhrAAGOfMwaEEKNbXY5o3D3Q6HHfdRV52NlGHCYtPo+01QRsbUFtbq8YGKKF63khRbgtfqyJ0dT3BwcEMGzYMt9tNVVUVu3fvxuFweD152pfOkbdxSJEWb1Za+hv9TVr6EkqoZVty4nA40Ov1BAYGEhISQlxcHH5+fn1yF6Gz2zH++COuNp4oxtmzcdx/P7oNGzAuXYrrrLMQx4yRPUM0hEVoDUp0TZggb+Z79uCcNAnj/PkeFvSgsfX398f42mvE5+VhmzKFwJdfxvHQQ+0e605NlR87axaCxYLj1lsxzZqFo01CslBTgy4/H9eVV8ri3cxMnNdei37bNqSTT26XIxT49ttkTphAeFYWxvffl03nnn5aNnprO+JcVYVQWor7uuswfPwx+m3b5MBDtxv9b7+181DRrVkjjzGbzRjfeAOhrk7WxPRRMmxvwe1243A4fGLUtTexv2uRMkkTGRnptdiA/a3DF67PCroretXpdMTGxhIbG+uRPB0QEEBSUtJBmTx9uNLSRXiTtPgCDjXSIkkSNputHTlRQi0DAwMJCAggMjKSlJQURFEkNzeX4a1+Jn2NxE8/xXbbbRg0X0T9r78iJSVhfuEFxGHDZE1LUxOmV1/FMX68x98bZ81CPOIIzI89hnPiRNzXXot+5Uq5NaKdmhFFjB99hHvkSEzPP4/zppsorK5m9MqVuP79bw8ipD72iCPkx954I1JqKvq//8Y9fHi7aRzjrFmIRx4ppy+PH49rwgQ5R2jhwnZpzbo1a3BFRZHw0UfoR4+WTedMJoxz5+K88cb2Rm9vvCG/vilTcF52Ga4rrpDzix56qJ3WR2kjuY84QhYEX389UhtH6/5AV75fypSZxWJRP79WqxWQx4UNBgPJyck+6W3iDXR2I9xfbEBCQgJm7ee5F9fRV/DGerTJ042Njeo5i4mJ6VbydH+1h/oKhxRp8VZ7yBdwsJKWfY0QS5KEn5+fqjdJSEhQU4g7grIh9Ad0u3bh9vfHrWhTAEpLMU+bhvOSS7BPnapqL0yzZrVLazbOm4d++3bE007bO67rcGD45htPbYkkYb7vPoSWFsQxY3DfcAMAhsJCDBs34tJu/spjLRbEY47Bff318u+dTgyff97OJdewcCH6LVsQ//UveQ2Kh4wyZq1FdTXmqVNxn3MOJddcQ+jxxwNyzpDQ2Ih76FDPY7/7rnzsk07ymPAxLFsmj1RrS9yShOmxxxAaG+U8IWXdPoK2G44oilitVpWcWCwWrFYrgiCon93g4GCPqp/BYKClpYWioiJ2795NXFzcPp1lD2Z0ZXNua4NfWlrKpk2bMJvNJCUlERUV1a3N/lAkLQoEQfAw+1OSp0VR7JLg2dfOkbdxyJAWk8mEw+Hw2vH6mzD4OmlxuVzt7jxtNpt6cVcu8NHR0QQEBHSZ+ffb63e7Mb7zDuUTJhAqSbKJ2zvvYPjxR6wvvYR01FHqQ3Vr1+LOyEBqNZkScnMxzZ+PbudOrMuW7RWzIlvQO26+Wd3g9atXY/jgAxBFbPPmeSwh8eOPsT70EMrWr1+1CsOiReB0Ymtj9macNw+n5riKN4xux452a9Dt2IEUGYkU15oupLy2X3/F/sQTtIwZg3vPHvXxpjlzsD/88N6/37UL48KFHb4+mprQb9mC/bLL1F/pf/0Vw/ff47rwQhwaozxfgCiKKqHOzc1VW5I6nU79/CotSX/F1Xg/CAoKYtiwYR7OskajkeTk5G5v0L6EnnwXDQaDGhugVBKys7P3Gxuwv3X40rnsrfVok6cVwfPatWsJCgoiMTGRiIiIgyp52ps4ZEjL4faQ9yFJEna7vZ3pmnaEOCAggPDwcBITE/Hz8/PqXUe/5IwsXozz8stBp8O8dCnmrCxcZ5yBS6fzICw4nXLY38yZCFVVGN96CykyEndUFI6XXvLY0IU9e0AUkQYO9AgpJCwM+5QpHs+v27wZR1QUUkyMShLEMWPkxypOscpxi4oQWlpwDx6sTuFIsbG4ExJwXn21J6mQJIzvvSdXXVwuDIsXo9u9G9f558u2+aecAi0t6sP1v/0mP29QEEJxMcZ33kFKSsKdmtr+2HhWcHQbN8p6n1NOUfOH+guiKHpUTbT+PEajEbfbTWhoqGrB3tPPr9ZZtrGxkaKiIrKzs4mPjycpKemgTVX21kYYEhLC8OHDux0b4Gsbcl+sRyt4rq+vp6SkhF27du03efpwe+gggLfbQ/39xejLTVsZIW5bOWlpaWHnzp2q3iQmJoaAgIA+ufD2i5CsVTwrxcWRvmgRrkmT4OqrOzRxM77zDs4rr8T4+usIViuO229HqKvD8O23Hjk9SBKmt97CcfvtmJ5+GikuDvsTT6D/4w/EsWMhKGjvY0UR46JF1I0bR+Izz6BLS5PTl//6SyYQbUYjTW++if3uuzG9/DIAjrvuQrBYMH74Ie5hwzwea1iyBOell2L4/nv0f/+Nc+JEXNdcI4ts2wiDcTgwfPcd9smTMT33HFJAAI7775ePvWCB7PirgS4zEyk8HJqaML/xBuLw4fL56kPn1LaVP4vFgt1uR6fTqcaBbf15GhsbKS0tJaqNid6BoNghSJKEJEnqqH3bz2xISAgjRoxQ2yMbNmwgICCA5ORkr4pT+wreXG9HsQG7d+9WYwP2pePwRdLSVwThYE6e9iYOKdJyuNKyfyglcS0pUbQjfn5+KjlRRog3btzIUdrqQh+jrystpscek7UqDgf599zDwEGD8Fu8GOell3roNIS8PPR//olQVoZz0iTZl0WSMD33XDuBq2HxYmhuxvjJJ/K4b2io7ES7YkU7e3rjW2+BKBKzYgXWyZMxRUXJLrvLl3tqYQD9119DSwumefNw3nST2vIxvfCCR0sHgLo69CtWoI+IwHX++erz6v/4Q674tLEZV0zyTG+/LU/4tG7qxuefx/HAA57HliT58TExcpvp0Uc9xcNehuJsrP3RTpl11jxQwf7+e0fkRPt4QRDUH5fLpfqYKL9ToLRHkpOTaWhooLCwkF27dpGYmNhro8HeRm9+F9vGBuzcuRNJkjw2Yl9Ff+X87C95uq8mLPsLh0mLj6InpMWpSSFW/lXuOvclJvQ19HV7SP/bb0ixsTgee0z2Vdm2TR4Zzs3FdeWV8oNaM4LMM2Zge+kl3Mcdp/69mqqsbNgOB8a33sL4+edYP/wQKSFBfaxp7lwct9++t21it2OaNQv9zz9jW7iQ4vJyhrZWVYxvvYXj1lv3PtbtxrBoEaZ587C+847qTAugX7EC8fjjPao3uu3bMd95J84bb8R19dV7j6MIg7XGcE4n8e+/j2HbNmxz5yKlpu499l9/yZNPWoJTW4vp1VfBzw/H/fe3qwT1BMpnWPs5bktOlEkzk8nUbVEneJITt9vd7k5VISEGg0ElJW2/MwqxEUVRfbzyWO1xwsLCCAsL8xgNDgkJITk5mdDQ0O6cqj5BX9y9a2MDtBuxNjbA16oIvrCetsnTu3fvVm9G+zJ5+vDIcxdhMpn+UdNDbfUmyr8ulwuj0aiSk55e2PsLfUpabDa5mqGZsgEIePNN1VNFt24dxk8+QQoLw/7kkx6Ehfp6dNu2yW62koThs8/Qb9gANhvWJUs87PN12dlIJpNcnXG7MSxdin77dmhowLp0KYSEIFRUyOdgzx6QJHk8WJLQr1iB4eefwW6XiZB2uslmw/DTT2oVRSgowLhgAeh0OK+7TjbD08A4f/5eYbDbjeGLLwhavRohP18W2WrT1p1ODF9+uZfgtLRgXLAAobER5513ImkCI7sKhZw4HA6ys7M9NFMKOYmKiiI1NRWj0dijz3BbciKKIk1NTTQ3N6tiWy0p6Yic7Ava6opyfEVboBxDu3btaLDWmC0pKYn4+Pg+s8X3VSgb8YABAzxiA8LDw/td66eFL5AWBYpfjtVqxeFw+FTytDdxyHwzDtVKi9vtVkcwFXJitVpxu90eI8Tx8fEEBgb+4y923YHpzTdx/Pe/HoQldNMmnCNGYKipwfTii4gjR2J/5BFML72EOG6c59+3jj3r//gDwzff4Lr4Ypzjx6PfutUz70eSMM6fj33aNPQ//YThp59wjh+PFB+PUFvrUcWQ3G5Mb7+N/amnZCO7Tz7BdcYZOG68EcNPP3kSFlqnk269FaG2FuPbbyMFBeG4/37MzzyD69prPR4rFBcjtLQgDRqE/pdfMPzwg7zmU0+lJi2NJC1hAYwLFuC84QY5ruDDDxEKCnDecINHJeZAUDKhtD8KwVb0C9HR0aSlpfVYM9WWnLSFQkZCQ0NJSUkhNzcXvV7fo1HctsfXfn+VttK+qi+KMZvdbqe4uJg1a9YQHh5OcnJyv4QSdoT+2pzbxgbk5uZSVVXF9u3bfSI2wJdIiwJJklTfoI6SpxMTE71+3vryHBwyO5zJZPIqaVHKvX31ZmiFhC0tLTQ1NdHQ0KCK9xRyEhUV1a0R4oMNfVVp0WVnI5nNnhuw3U7Ujz9iyMjA0NAg6zT8/DA991y7pGTdunVIJpNMbMaOlasRSqBim9BBw9KluEeMwPzYY7hOP13+7w4H5scfb6dZMX3zjWwMN20a4ogRsrBVp5NFwdOmeTxW2LNHTZgWrFYct9wCkZEY331XnvRp81kxzZmD8/zzMT/8MK5TT5Wf227H9Oij1F17LUnaY5eVIdTVocvMxPjBBzivvlr1k2kLbWCllmRrycm+MqEaGhoIbxO6eCB0lpzsr3KijJUqYtCcnBzi4uJITEzsMXnqavXFbDarUyLV1dVkZ2fjcrlwOp2Iotiv2g5f2Jz9/PxIaG2zxsXF9UlswIHQXUfc3oTb7fb4rLRNnlbOmzeTp/uy+nXIkBZvV1p644OoXNTbusI6nU61Vx8QEEBYWBjR0dHs2bOnX4Ww/Yk+IS2ShHHePE8HV4sFvxtuoCk0FMsttxCQJG/hui1bkOLiPGznlZBC5/XXY7/vPlWsa3zvPdnSXrNBCps3Y3zrLZyTJsnP13pRMb79tkwyNJ83v5IS/N98E/cVV2B/5BE1VNHwySe4LrzQ037f4cDv7rsRR43CeeutSMnJ8vNVVso2+20IhmHhQoT8fHT5+R4TPsa33qJ50iTQtlglCfPkybK3y2mnYb/00tZfSx1WTkRRxGQyqeQkLi6OgICAHm8m3iAnB4IiBnW5XJSXl7Np0yYCAwNJSkoiNDS0z6svSkKw1Wpl1apVrFq16oCTNf8EKMLXvooN6Mx6fI20dCV5euPGjZhMJrXKeDDcDB8ypMXblRZBENox1s5CkiSsVmu7SR3tRf1AI8ROp9OnereHIgwffYTzsstksuFyYfzoI3Tr1yOOHEnhpZeSqtjit44iq9WQ+npMb7+NbuNGbK+8gvuYY9RjCmVlCJWVapKxUFWF8e230a9di+2DD5ASE/c+Ni8P3O69I9JNTZjmz2fAV1/R9NprmI48cu9iGxrkFGglLqBVh2L4+GOc//d/uNqQE+Mbb+C47z6PdRnnzkW/fj3WTz/1SFMW8vLkQ6alQU4OIFeQDMuW0XLOOdSdcw6WlhYsO3eqn2Oz2ax+jg/kbtxZ9AU5ORAUz5DExEQaGhpUnxUl0K6n1Q4teQHaVV/abjb+/v74+flxwgknUFlZSWZmJgDJycl9qlHwlc257Tr2FRugVMt6GhvQ1fX4AnwxedqbOGRIi7crLZ1Jeta6arbNI+lohLgrFzxfMJfrT/T26xdqauRAwyuvRP/99xh+/x3nxInotm/H+fDDCK2bN4Bx4UI5zdjhwPjuuwjV1bguuACDTudBWEA2WbNPniyPOb/zDoLNhuv443GnpXkQFiQJ09y52J9+Wj7uwoUIZWWIJ59MTVMTwZqpIPBMdtb/9huG777Ddc45SIMGtSMs+r/+wj1ypDxeraQp6/VIAQHYZs/2ICwgV1kaJk+mrq4Odu6k+Y03qEtLo+ziizH7+xNYX09gYCCJiYm9Rk6cTifV1dWEhYV5bOC9RU4OhLaTPoojqTLJ0tNqh7KpdFR96WhsWjtZY7FYKCoqIicnR3WVbWsw5m34yua8r3W09TApKyvzSmxAd9fTn+iquVxfJE97E4cUafG2uZyyaR5ohDggIMDrI8S+Qlp88UvpDRhnzcJ16qmYJ0/Gdc452J97DsPSpbguvtij/aJUTnSZmRiXLMFx/fVIgwZhnjpV1rpooP/5Z8RjjsG4bBlCfr7s4RIfj3nKlPb6li+/xHXOORi++gr9li04r70W98CBmCdPpvLqqwnSvPe6zZuREhMRSkpkIfDJJ2OfORPTCy+0zxFyOjF88QX2p57am6Z8yy3Q3Izh669piYvDUl2ttnT8f/oJd1ISzvXrSfr6a6TQUKTp00kICyO5h1WFrlROjjzySIqLiykoKFA1Cr4iKjeZTGqgXVVVFVlZWUiSpFr09/T73rb6IooigIf2RYvAwECGDh2quspu3br1kIoM2B86c03UilDbxgZ05CDb0/X42vnu7pr2lzydmJjoM58t37gqeAF6vV79sncHHVnWb9myBbfb7TF+2VcjxL5CWvoLvXluDcuWocvMRDd0qNzy0emgthbdzp04Lr9cfX5Jo+lwn3GGnGQM6L//Htepp3qOBbe0yFb+AwfKYtXWYEDjW2/JkzfazaepCcNnnyHFx8utndaWj+HDD3FOmODpJCuKGOfMgehoJKNR1aHoMjORwsKQ4uM9Xptx7lzc0dHonnmGyksvpSEqCktlJQkvvUTupEmYc3L2Jmr7+xOen48QF4e0cydNjz9OTWkpia1ZSp2FlpwoPiVadKatowTFOZ1OSktLWb9+PWFhYSQlJRGkdQ3uRwiCoE6ytLS0UFxcTG5urroZ9rQVoT1vVquV5uZmVSuk1cAo0LrKNjU1eUQGeLs14kubc1fW0TY2YNu2beqkmDcSuX3pvCjojeTpkpISsrKy9ps8fdinpYvo7IevMyPEAQEBmM1mhg0b1m+iN18gLcoafO1L2SPYbOhXrsS2cKFHm8Q0ezaO1vYLQEBWFuGPP477yCNxPProXqGsxYLhzz89bP31f/+N6YkncN56Ky5NYKBQUiKnJA8frv5Ot2kT5gcewHnTTbgmTNgbdKi0q66+GrZvl39XWYnfHXcgDhokr0FZryRhfPddrNOnY1WEsM3NBC1ZQsTXX5N95524zjtPJtr+/iSuW4f5qqsI14YWWiz4PfAA7rAw2VE3MhJstv2eOsV4rSN3WJA/L3q9vkdtHaPRSGpqKikpKeoEjVLViI6O9pnPYkBAAIMHD0YURSoqKtiyZQt+fn4kJycTFhbWqXUqN0oKOVH+Va5FQUFBBAYGcuSRR+7XtA7kEv/w4cPV1sjGjRvx9/cnJSXFK8JUX7kOdHcd3Y0N6Mx6fE286s3sIUHwTvK0N3HIkBbwLB22HSFWUlwFQcDf39/DuMrf37+d3qSmpsbnPox9DV8gTt6Gae5cHPfc40FY9KtX4x48GCIjEfLzMS5YQJCfH67kZHjsMc+/1wYD7tyJ8f33cScn47roIg/CAq0pyVOnAvJYsvG99yAwENfEibgmTvR4rHH2bNnmH9BbLATMmoXRakUcMgTbU0/JRLuyUm7pfPopDSNG0LhlC/7+/sRkZpLy55+Ya2pw/Pgjw7QiOosF85Yte8ekHQ6MH3yAUFyMfepUddpIi74gJweCdoLGYrGoVQ1vjml6A3q9Xm1nNTQ0qK0IRQ9gMBjUaau25EQRNCvkJDk5mcDAwH1q3zozNq20RpKSklQh8a5du0hISCAxMdHn9AldhTfIU0exAW63m6SkpC7HBvgKmdOiP5Knk5KSiFPS43sZPkFaHnvsMb788kvVSOi9995T5/H3B0mS1A9dZmYmVquVM844g7q6Ou68807Gjh1LYGBgt1Jc+3vD9oUvQn+fA29D2L0byWBASkvb+0uHA8Nnn8nhgDNmIAUH43j4YQxPP43lllvQ3n/ptm9HioiQRbRPPYWUnIz9qacwP/KI59g0oF++HNe//oXQ0oLx1VeRIiJwPPww5ieeaJffo1+1CvfQobjNZpg9m9jMTPZMnEjk4sXkXHYZ7lavnsDAQEJEkaj6emLuvx/D9u0YFy1CHDsW6fzzweFA10GoouO//5WnjT79FP3WrXL7qvWiLYmih0OsxWKhvr6e4ODgPiEnnUFgYCBDhgzxqCIEBweTkpLiU1MOoaGh+Pv7U19fT2lpKbm5uQiCbP/v7++vkhOlvN7VO9Sujk0rQmKn00lJSQnr1q0jODhYjQzoyjXGVzZnb65jX7EBXTH285XzokV/JE/3pbGrT5CWBx98kGdag+Zef/11nn76aebOnbvfv5k0aRIbN24kJiaGYcOGMXToUMxmMx988AHx8fFeEccdSht2d3BInQNJkh1m25AL4xtvIAUEyOGAt9yCFBmJLjMTd0AALq1exO2WnWYTE+Xww/vvh6AgDEuW4GoTqEhLi+xam5yMfvt2uTITFobx/fdxXnklItDS1CS3derriX37bWoGDSLkzjupveQSao47jgHFxQSfdBJHn36654jnM8/guvRS/J94AnHwYDmg0eXC/MQT7QzqdNnZSAEBCNu2YXztNeyXXELLxRfLx9NcZBRyYjAYGDZsGMXFxTgcjj4fqz0QtFWEuro6cnNzcTqd/bJOp9NJc3OzR/VEMdELCgpSowcUHxFRFAkJCfHKOrtqWmc0GtWx4Lq6OvLz87scGeArm3NvrUOb36PEBjgcDhITE/d7jnzlvGjRH8nTHQntews+QVpCNPblFoulUx+CuXPntit1zp07l4SEBK98iA6pDbsHOFTOgWHx4r2eLCALXGfNwvDjj9jmzEFKT5d/73ZjXLCAyhtuQC122mz43X47UkCAbF+vWPPX1qLLzsYxYcLeJ3I48Js0CSkxEdv//R+W8HAsFgv2desI2bCB3UOHotu0Sa6cBASQ8corGHU6Qs48E/dxxxEO2DdvJnrlStwvv+xhOqf76Sd027ejj4iQ206tLS7jG2/guO023JKE1NracYsiQc88gxQbi3vAACzTpiHodOjb3Jm3vbgppl1Wq5Xi4mLy8vK85hDrLQiCQEREBBERER7rjImJUdOdvQVlclBLTpRsJKVyEhsby4ABA/bZeomNjfVYp6Kj8EaQXVerL8p5s9vtlJSU+GRkwP7Q2yRB25bUnqPQ0NAOjQZ91RHX19bkTfgEaQF45JFHeP/99wkNDeXXX3894ON7uzd7mLT4RovKGxBqatDl5MhpzZKE/ocfMPz6K0JVFdbPP1cdZ6HVcG7CBASjEcnlwrB4Mfr165EiIrC/+KLHcU2zZ+P43/9k/VRzM8KyZZh/+YW68HB2X345uspKAi0W2Vl16VKcU6dybEyMvKGsWyePJAO2+fM9yEncZ59hue46/JXfNTZievtt9N99h/XTT3GHhcmaE5cLcnPRiyKOpCRonZ4zZGXh/8EHuI89FtcddyDo9fh18c7L39+fQYMGkZGR4dMtGe06y8vL2dKq8+lqC8TlcqmkRCEodrtdJSdBQUFER0eTnp7eLfKmrHPAgAFUVFSwbds2dUw5IiKix9+1tmPTBzKtM5vNZGRkkJ6e7hFIqGgT2uo6fKWi0Jfr0J6j2tpaCgoKaGlpUfVKJpPJZ86LFn29pr7eJ/uMtJx55pmUl5e3+/306dO56KKLmD59OtOnT2fGjBnMnj2bp556qq+W1iF0Ol2flrx8EYcKcTPOmoXj7rvRrV8vBw+edRbiccfJ6cQawiJUVckTPFddRch77xG6ZQvua65Bt2sXjvvvVzc2i8WCsGoVktlMcW4ukZs3E7duHS3/+Q9BERH4P/ssxwYFqRcO/cqVCMcfjz42FmH3bkzvvYd4xBEQEoLtscc8CItQVITObkccOBC31YrxvfcQKitx+ftje/FFxOBglZzoBAH/d97B9uSTGI1GdEVFmBYsQEpNxfXss2Ay0dO0GmU8NDExkdraWnJycnC73T43zaNMhyiCWGX8t624UtHtaCsnNptNtTVQWjtKcKO3X59Op1PFjMqY8u7du1WBcU9vxpT1dlR96ci0TltZUKpBq1atIioqShUGg2+Rlr6GIAjtYgPWr19PYGAgdru9z9dzIPTXRNMhN/L8888/d+pxV155Jf/5z3/6nbQcKht2T3AonAP9ypVIUVGYX3pJTmqeMUOuXLzyCo42nzHjrFm4xo3D+NBDuAYPJuf22wletw5XeDilu3ap+VCBJhNJv/+OeM01pC1bhnjKKYg330zo4sW4r74aP20lwuHA8PXXOO6+G9PTTyPFxWF//HH0v/6K65RTICDAY1rHb/Zsyi67jPh338VYVobj6qsRwsIwv/su4ujRGDWlf/1XXyGddx5Gmw3j668jBQXhnDwZemFMX3vhbmlpobCwkNzc3H4Nq+sIigA1ODiY+vp6lbwYDAZ0Op0HOYmIiCA5ORmz2dwvG7Iypux0OikrK2PDhg2qUFbbMu8u2lZf2prWtX3N2mpQ28gAX7oO9Cd50sYGNDQ0sHnzZjZu3KhOZ/V2bEBncLg91AfYvXs3g1pty7/66iuGDh3azys6NDbsnuKgPwd2O6Zp03BdfLGa1Aytlvh33qnqFSwWC+alSwles4YKs5nqyy/H6XYTbrMRu3YtjpkzSdRsbKZnnkFwuxGzsnBMmwYGA2hbUBoYX3sNSafD+PHH2O66Cyk4GMliwfDrr1inTfMQxJp++AEhOJgjli6l8OSTyT7+eOKCghj45puIDz/sKQa0WND9/jtSYiK69etx3nYbdNEUrrsICAhQwwVLS0vZsGEDYWFhHnfmfQW3201LS4tHW8dqtapu1WFhYSQkJGCz2SgvL8dsNhMfH9+noXoHgtFoJCUlheTkZOrq6sjLy1NFoF0dwe0IXa2+tI0MKC4uprm5mZycHJKTk3s9MmB/8JWKj0KOg4KCGDZsGLW1tX0SG9AZ9Mc56svn8wnS8vDDD5OVlYVOpyM1NfWAk0P7gk6nQxRFr5jdHPQbthdwsJ8D49y52GbPxp6aKpOT6mpYuxadTkfxnj0YDAZCbTaSPvuMoC1bsHz6KSmhoaQAOTk5pH3yCbp77sHcSnaE6mpML7yALjcX6wcfeJrTvfGGak7ndruRrFbML7+MbvVqLG+9tTcd2u3G/623cN5+u3r3D2D4/XeMM2fifOYZpDPOIFkQSBBF6j7/nN3BwThKS0lurfRgt2O86y4IC0O84grPTKM+hMFgUDfb6upqdu3ahU6nIzk5mcjISK9eyBRyom3ttLS0IAgCAQEBBAUFqdYG/v7+HT53SkoKjY2NavXlQJMhfQ2tUFbrgxEVFeW1fCFt9UXrYLwv0zpl3Ly6upqgoCC2bt2qvu/9sTH7CmlRIEmSqk1qGxugCMP7muT5ouGdN+ET39Zly5Z55ThKaKK3SMthTcvBQ1okSfKonLgyMwkoLSW/rg5jc7Pa1kn87TecL75Igt2Oaf58cDqRoqJwvf02ptBQ9XjmggIkvV6eKmpulh9rt4PDoRIWpa2jW70aR0YGzuBgsNkwffwx+qwsdLW1WD/5BL2/v3oR0Wdnow8ORsrIAEDYsQPDBx8glJXhWLwYKTVVXYNeFIlfvZrI55+nuqaGXTt2ELdiBXFVVfDgg+ADFUnw1EU0NzdTWFhITk6OqjHpqlmXlpw0NzfT0tICoJITJecrICCgyxtYSEgII0aMULUJ69at81oIojeh+GCkp6dTVVVFZmYmOp3Oa3fxXR2bFgRBbQVqIwPi4uK8PrG1P/jahtx2PdrYAEVwrbxvfTWWf7g9dBBBIS3eYLadSXn+J8DXzoHiLqqQE+VHFEVMJpNMTgICSPv2W5zPPkuMZiMyvvkm4i23ENDqCOucNAmsVgw//LB35Fl+EqKXLqXxkUeIe/ddKCjAdsMN6LdswX3kkbgMhr1tHacT/y++wDZjBn4//IDhzz9xXXEFuqgopIAAjFp9iyRhmD8f54wZCIWFGObNw52ejuvqq9H//rsHYQEwvP02rltvRRAE4tatI+G332g8/3x2RkTQ0thIUmkpcXFxPnURDwoKYvjw4R7JyJGRke3aCpIkqXEaWnIiSZJqxBYUFERMTAwBAQFef41abUJVVRW7du1CEASfCx3Uhtgp9vM5OTledQbuytg07DsywFuTUPuDL1ZaOlqP1ilZabHl5OT0ODagJ2s6VHBIkRaDweA1Z76DqcrQW+jPD75yAa2pqVGJSUtLi2p9rjjExsfHt3MXNSxZgjRhgocgVSgoQL9uHbqiItkRdvhwkCTMDz2k5ggplRPD0qU4Q0IIfP55bDffjPvqq6G5GfPq1dinTcOg8TcxLViAdOyxBDz6KOJ55+F6/nlobka3bBnOti65H3+MOG4cxuefl0WzDz8MAQEYH3wQ54wZHo8VCgvBZkOoqsLw9tuI552H8/nn8QdGAna7naKiItasWeNzPiqwNxk5JSWF0tJSNm3aBMgVBKfTqZITRRQbHR3dK+TkQBCEvSGIzc3NFBUVecQF+IrAGPbaz7tcLsrLy9m0aZM8Tt+Bf0h3sL+xaWi/GWrTlBsaGigsLCQrK0vdrHvj8+hrG3Jn1qO02AYNGtTj2IDOwJvZQ76IQ4q0KJUWb+AwaembcyBJEjabTW0JKD9utxubzUZdXZ1qfR4QEHDg1l9NTTvDN/0ff2CeMgX7M88gnnGGal9vXLoU2wUX4BL2OsQav/8evzffxPHkk+TEx2OxWEiqqSHl/fdx33OPxyam++UX9J99huu223DOnKkmORtmz8Z1552e6youxrBwIeIpp3iIZvVLlyJecomnoy5gePppCA1FKC/3OLYCs9nMwIEDSU9PV+92Q0NDSUlJ6Zc2hzYlXSuKVcL/oqOj0ev1NDQ0qAGIHfmB9CcUUaV2mickJISUlBSfSZoGmSwoY+ja8W7FP6Qn51QURfX9U34cDgcBAQGq/qWj6ktoaChHHHGER0p3UFAQKSkpXiFUCg5G0qJAK3BWxsu7Ghvg7TUdjDhMWvYBX9G09OcH0JukRSEnWmLS0tKibmqBgYEEBASQlJREQEAAer2edevWMXDgwC49j2n2bBwKYdi6FeNHHyHp9VgefxzXySer5ESoq0O/axeuK67AIAgYduzAsGgRutJSHF98gV90tFrRqPzpJ/IaG3Hb7SQ6nZjKyzHMm4duwwbsn34KYWF7z9m2bRAZiaREADgcGN5/H/3ixThefhlp1Ki9i21oQLd9O87LL9/793l5GN55Byk9HddDD7UjM22h9VGpqakhKysLQRBISUnplVL9gcL/lMrJ/sL/7HY7xcXFrF271qvusN6CdpqnpqaG3bt3q3fG0dHRPnMXq0ywhIWFYbfbKS0tZe3atZ3S6LSdumpubsZqtapj/W39arR/tz/TOm1Kd11dnWrIpuibeqo39LUNubvrUcbLldiAnJwc7Ha7V8ThvnaOvI3DpGUf8AVNi0IaDibSotUqaMmJ0g5Q2joREREqOekplLaO/s8/cQ4ejNjQgPmVV3CnpdFyzz0EzJqF+8wzMWhEhua33sJ5772YSksxzJ+Pe+BA3BdfjLRnD0RHq8c2G41k/Por1mefpXzXLmqefx5zRAQhI0diPPFED8KC241h4UKczz0Hbjf6Tz5Bt2kT7mOOwXXttZ6EBdkXxqkQrIoKOdsoPBzn1KkQENClcyAIAlFRUURFRdHU1KSKYZWKRnc22o7IicvlUrVDQUFB3Qr/M5vNqsi0vLycrVu34u/vr96V+wq057SlpYXi4mL27Nnjk+04s9lMeno6aWlpVFVVkZWVhSRJJCUlERQU1G4sHFDfw5CQEBITEzsVKNsV07qOIgOU0Xhv+NAcCuhqbEBncHjk+SCC0WjE5XJ55Vi+0B7q7zXs7/mV9k1bcgKolZPAwECioqK8plXQmrC1W5fdjt8nnyAlJmKorMQ1ZQoEBhI8YwbOe+7x2GB0q1bhjo/H8NZbEByMc8oUMBoxTpmC84UXPA6r/+ADxEsvxe+tt0hvasL+xBNUWSzUP/MMpffdR1pTk1rW1X/4IeKECXLb6McfES+7DOdll2GcPBnn8897HFfYtAl3UhKYTBhan9N5xx0QHt7j8xQcHMyIESPUisaaNWuIjY0lKSmpw41WCf/Ttna04X9a7ZA3NR46nU5tadTX15Ofn++TQY0gTy4NHjwYURQpKytT9SRKXEB/Q1sBs1qtmM1mmpqaVP2EMnGVnp7e4+9jV03r2kYG5OTkqO9zV1uEh3IVYV+xAd0RXR+q5wgOMdJiMplwOBxeOZYvtId8gbS43e52kzpWqxVAFVL2Jjmx2+3tjqnc3WnHM82PPQYBAThvvRUpOhodoNu4EXdiIsTF7f3j+nqMjz2GOG4crltvVbUlhjlzcE2a5GGpT2kp+q+/Rho2DNdNNyGlpqIDEmfOxDVtGrqAANXWPj04mNi//oJt2xDHjZPJjyBgmDcP13XXeWpSRBHDwoVIgwZhfO01nDffDNpEaS9BqWikpaVRXl7Oxo0bMZvNhISE4HK5VL2ClpwcKPyvNyAIclJseHi4R7Dg/ohWf0HbjtMSLUVU2RdESxviqPw4nU6P9pxSYdHr9YiiSHl5OSUlJdTV1ZGcnExYWJhXhLvKv50dm1aqCjabTY0MUKbLOqMbOpRJi4KOYgM2bNigts97e0LL13FIkZZDTYjbl2vQmncpVZO6ujqqq6sJDg5WyUlMTAz+Gt+Rnj7nPisnQHx8PJs3b1Y3L6PR2OHzCjk5SElJuO6+e+8vXS70ixbtrZw4neg//BDDp5/ifOQR3KefvvfvCwvBYkEaNkz+hSSh//JLDC+9hGPmTKQTT9z72B075JZQYiLhIG+0mzZhvuoqcs85B8OttxKXmIhOEKCsDKqrkY44wmNdxkcfhZYWxHPPRRowoCensENow/+Uf5XwP4Dy8nIMBgOpqanExsb61AXwYAlq1BItZQNes2aNVzU6+8tJUkbCY2NjycjI2C+xU3KZFOGuYn6mVLm85WvVlbFpPz8/Bg4cSEZGhjpyrgi091dl+yeQFi3axgYUFxeTlZWltih9ITagr3FIkRaDwXC4PXQAiKLYTnNitVpVZ9HAwEC1lFxSUkJkZCQRERE9es4DkRPlwqbX69ULkk6nIy0tjeTkZHVkNiIigpSUFM8NQZIwzJ3bbrzYsGABrhtuAEFA/8UX6FavRjzjDHl6SENYQJ72cT75pPy8f/yB/uuvcaem4rrnHg/CgtuN4d13Zc0KIJSUYJg3D6PVivvuu4kdP95jDHng22/jmjpVXaf+q6/Q/f03rokTkY46qkfnFDre1Ox2u4eYMjIyktTU1Hbhf4oJXEFBwT6TffsTB0tQI3huwOXl5Wzbtg2z2dzpiobb7cZqtbYTxQqCoL6PyoRJT3OSQkNDCQ0N9Qj+Cw0N7XSl40Doqmmd1oempaWFoqIicnJyVDfZgDbarn8aaVGgFV0r/ji+EhugrK+vcEiRFqPR6LX2kC+kPPeEtIii2G6M2GazqZksgYGBhISEEBcXt0/b866KkbtLTvYHvV5PcnIyiYmJVFZWsnXrVgIDA0lNTZXL3x9/LI8Ma+40hZISqK9HqK3F8NBDiBdeiHPGDIwPPYTzmWc8j//114hnnomQk4Nh0SLcJ52E85lnMD72GM7//c/zsYsWIV5xBTQ2Ynj7bTAacd55J8YZMxCvugqzIKhjyPWffEJWWBhiaSkZBQUE/PQT4gUXyOPLXYTSomt7x63T6dQKWFc3Na0JXFFREWvXriUmJobk5GSfasdoS+W+HNQIezU6bZOmlYkQnU6H3W6nqanJ4/2UJKndDUN33H67Au0dvDIhJYqiV51bu1p9CQgIUP1MysvL2b59u/r9V4jqP5W0aKH1x9G6EytE71DHIUda/mmVFuVuW9vWaUtOlEyWzkwHHOj5FSK3P3KiXJC6Qk4OBMXjIDY2ltraWrKysjA3NzNs0yb0Gk8WAMMTT0BICEJdnSyAFQT0n3+OeN55amgiIJvAff89REbiHjgQ5/TpYDBgePVVXP/9r6e+pboaXXY2Un09+h9/lHUoMTGyJ8stt3g8Vu90ErdxI1ETJuCYNYuijAws11xDaloa+5uZ2Ff4n/aOOzQ0tNOTHp2ByWTy0L1s2rSJoKAglRT6EnwpqPFA8Pf3V8lLSUkJWVlZ6PV69T1UqmCBgYH9KjjWTkhp9UTebHPtz7RuX9UXhfwpFcHdu3cTFxeH0+n8x5MWLRR3Ym1sgMVioby83OfE7N7CIUdaDlVNi8vlalc5UVoBCjkJDw9Xc0B6+sVWyIkoirhcrj4jJweC9s7bPWUKO88/H+v69aSmphLd0oJpyhSk+Hi5haPchTc2yknIrc63AFRVYbr2Wtwnn4zrnnvUEWMhNxdAzQYCwOnEdPPNSAMHIl5wAVJamvzYggKw2ZAGD/ZYo2HaNGhpQbdjB8ZXXyVdr6e+vp49e/YgiiLJyckEBATsN/wvJCRkv+F/3oaie0hISKC2tpbdu3cjSRIpKSleDz/sKToKalS8afp6rVr9kNaMTTsWPmTIEAICAqirq6OoqIjm5mYiIiIICgryqfOq6IkGDBigboAmk8lr4s99CXf3V31RKoKKC3BBQQFWq5UBAwb84wWpWmhjA1auXElDQ0Ofxgb0JQ6Tln2gv0iLchFULoSZmZmIoqjqFBSPE6WM7y1y0lHlxN/fn4KCAtxuNzExMX1KTg4E3V9/oR81ihEnn4y1uBjbs89SJopEhIZifOEFj/UZX38d5113yf+nuRnDvHkIBQW4zz3XU7wrSRjefHMvuZEk9F98gf6zz3CfeCKuBx/0WINhzhxVCwMglJVhmDcPyWTC+eKLSGazR/ifXq+npaWFzMxMJEkiPDxcdcj0lri5p9CSQm34YVJSUo/dVr0N7TRK26BGb6c3t23RNTU1YbPZ1OqJEkWQnp6+z/aaot1QSvq7d+9WNxpfSZoG+bsdHx9PfHy8x1q9GW1woOpL2+ua4gLc2NhISEgIZWVl7Nq1i4SEBJ/zzOlv6PX6Po0NgMOalm7DZDJ5tT3Um5oWbSKx0hJQEqoVd1jFMMob44kHauto73aUi0ZCQgLR0dEUFBSwceNGkpKSSEhI6P/N1eFA//nnOJ96CsPrrxPc3Iz/I48gzJ3LntNPp3zNGnVawrhli+yHEh6OYf58hOJiXDfcgOH113HdcYfHYfXLliFecAGYzeh+/RX9t98i/uc/SLGxuB54wPOx33yDOG4c+Psj1dUhzJmDzeWi/JJLaNLpsGzZst/wP0VLkpeXpybl9vt5bQOt7kXrYKtoZ3wJbYMa161b12FQ44GgmCNqKydtq2A9bdEpJX2n06muVdEk+VqbS7tWbbRBUlKSVwzi9ld96ci0TpIkdaS7bWSAt0a5DxXsLzbAW+9ff0A4QDXhoArfeeaZZ0hOTubSSy/t8bHq6+uprKxkcJvSf1ehJSfKj5acaH+MRqPHFy4zM7PLuSedJSfai0JnNkun00lhYSGVlZUkJCSQlJTUb3fdhpdfBpcLoalJ9U8Rtm5Fv3YtrptuwuVyUVxcTHlxMUe++y7+Z56Jads2XNdcgzRsGPoFC3CPHo00evTegzY0YHzxRVz/938YFi/GffLJiOefj+GNNxDPPhtp8OC9OUmVlQQ8/zz5N95I6Mcfo29spPryyzG35v4oniedOa+iKFJaWkpJSQlhYWGkpqZ6JaW8N+B2uykvL6eoqEjNlfGlMWQt3G43VVVVFBYWYjKZSE5OJjw83GOyZV9ZSVqiqdxA9CahlCSJ6upqioqKANS4AF/cfCVJUttcDoeDxMREr9+9t71uaW+ktm/f3s7QT5Ik6uvrKSws9GpkQGfw999/c6J2wtAHsL81KZ+14uJir8UGuN1uDAZDb4jiO/wCHFKVlv5KeZYkqUNyoriKKqQkOjq6XZZHd9fQncpJTy68RqORAQMGkJqaSklJCWvXriU2Npbk5OS+NSLLyUH36684p09HOvJI+ZeiiOH999XJHIPBQFpaGgNffx1bSws7W1rQXXutTAjKy9GVlSHeeKPn63vqKZAkdDt24Hj2WewuF7YtWzCUl1PgdGJZuxa32y27Vi5ahBQby5CPP4ZbbkE3cCCx3Xw9ynREUlISVVVVbN++HbPZTGpqqk84rWqhdbCtq6tTx5BTUlL6feSyLbSjtLW1teTn57Njxw78/f2RJAmXy4XZbFbJyf6yknob2jaXxWLxSJpOTEz0qQkpQdhrz2+z2dRrQVRUFElJSV4h3Psbm97XVKLimaNU2hQr/JSUlIO2otAdHGjP0n7WlNiAtWvXEhwcrJJBX/oed4RDirT09vSQYpWtbet0RE5iY2O9Ynmu0+kQRdFjlFgpnSqjf94mJweCYkqm+Kds2LCByMhIUlJSer9l0OrJ4vj0U9A8l37hQlxXXw2tG45u40Y5dNBmw/DRRwwDlRAMmjcPw5NPEkQr2SwqwvDkk7Q0NZEzdSrNLhfi+vWYjEYGv/UWTQ8/TFJkpDxerdOhX7oUfU4Ozqef3kuavABBEIiJiSEmJkZ1WnU6naSmpvocIdBuXBaLRR1DVu5w+6sCp/WtUX4UU73g4GDCw8NpaWmhoaFBHQ/1paBGkPOAlAkppR3ji+Z6IPvTKBlSVVVVZGZmotPpvOIb0rZN19TUhNVqRafTYTQaEUWxQ+2LyWRSM5hqamrIzc3Fbrf3iiarvwc1OkJXRsK1sQFKuKXFYlF1Vr6qEzrkSIs3Ki1K5cRqtVJUVKSSFFEU1amAwMBA4uLiuhwWty+0rZwo/7+yshI/Pz8MBgOCIGAwGPqEnBwIysUpISGBiooKNm/eTEhICGlpab3W3tB/8gnixRd7EBbKyhAqKpCOOkr2Wnn3XdzDhyMFBqrjzgIQFhZG4F9/0XTUUezOzYWNG8lYvhyjTkeg00n9yy8THxxMUFAQBoNBtu8fP56g1iki3S+/oP/+e8SLL8bxxRe98voUKCZSWkLgi0JYkDfZYcOG4XQ6+yy5WeverHieKBvagUz1lL/35aBG2OvFkZSURG1tLbm5ubhcLq/6qHgL2qpWc3MzxcXF5OTkdDozx+l00tTU5EE2lfT3oKAggoODiY2NVb1rOhsZoIxyK47Fq1evVocYvDHO74ueMco56Qq0NyGKTsiXYwMOKU3LnDlzsFqt3HLLLZ16vLavra2eiKKIwWDA4XCQmpqq9rV7i5y0/bJplfWlpaWUlZURFxdHcnKyT00ZaKH0SvPz8/H39yctLc27Ph+1tXJOz1NPefza+MgjOCdNwrhoEVJUFNarr8a1fDk2m42KY4/FYrHgcDjwkyQGLVhAw8MPE/PVVwjV1eSefTZBP/2E/1lnEX7qqXvfh+ZmjNOn45wxA93GjeiXLMF92mmyz0s/fHkV0W5lZaVP5vFo4Xa7qaiooKioiICAgB6V5xUNUVtRrGLGprR2goKCujUaLkkSDQ0NFBYWYrfbfTKoUQtFTFldXU1sbKxP27grI8olJSVqsKQ2bVohKXa7Xc2+UghKZ28EtW3x/Y1NK3C73VRXV1NYWKi6K/ckL0oURdatW8cJJ5zQrb/vDTidTjZt2sRxxx3Xo+Mo343i4mIaGhpUAtrRjUhfa1oOKdIyf/58qqur+V8bJ1Pl4teWnChsXvE5UX6U0dQ9e/YwcuTIbq2lK+TkQJUTURQpKSmhpKSEmJgYUlJSfKrPrYUi1MvPz0ev15OWluaVu1jjk0/ivPNONeDQ5XLh+vhjDN98Q3NKCvn//jdWkwmzy8WgDz6g/rHHVCGlSUlSNhoRqqtx3XAD0oABCKWlSAsWkDV+PHV1dWrlyPT887hPPhn9t9/iHjlSdsH1gQqHkjBcXFxMWFgYKSkp7WzOfQWKOLKgoABRFA+oe1ESirU/oiiqoljFLba3RLFtCYEvE0NtAKK/v7/PaRG0ZLOpqYm6ujoaGxvVyZ+oqChCQkIICgryiqeUsocp/+6r+qKFEhlQVVWlTsR19bvkcrnYsGEDxx9/fA9W7104HA62bNnCscce67VjKq3KkpIS1bdHKxR3u90YjcbeuKE+OEjLiy++yIMPPkhVVRVRUVFd+tt3332XXbt2MWjQIEpLSznnnHM8yImWmAQEBOy31G61WsnJyeEIbdhdB9CSE0V70l1yciC43W5KS0spKioiOjqalJQUn72wAjQ0NJCfn48oiqSlpXlMb3QWoihiX7ECV24u5ePGyeZdTU2kfPMNcb//TvmcOfhlZKjkxPj884jXXIOUkCAfQJLQz5uHYdkyHM895zExZJwyBeejj0JgoFrNcHz/PYO/+grDxRcjTZrk2YryEUiSpE7GGI1GrxHD3oJiv19fX09cXBwhISHqHbdSCTOZTB6VE2+1XbsKLTH0VS2JAm2lyGaz9aoPx77gdDrbkU2Xy4Wfnx/Bre3WoKAgAgIC1NZDeXk5ERERvWJ61p3qi1IZ1Ol0Krnu7ETl5s2bvUoQegqbzcaOHTs45phjeuX4TU1NFBcXU1tbq+rCzGbzP5e0FBUVcdNNN7Fr1y42bNiwX9LS3NzMihUryMzMJDMzk+zsbCorKwkPD+eYY47hyCOP5LLLLsPf379bX2KbzUZ2djZHtoot25KTtvAmOTkQlJ58YWEhERERpKam+myZGOT3Kj8/H6vVSlpaWod33No4Aq2IUi+KDJ0/n9onniAoIIDw77/HlJUFooh4551ImqwNYds29KtX47r5ZqDVgO7LLxEKC3F88MFeh1xAt3w5gigi/uc/8i9qa2VjOLebgvPPp6i5maioqL4RGPcASjXD6XSSkpLiM6OyWjM2bQig4rAcEhJCYmIiERERPkm8JUmitrbWo5XgK+e2I9jtdoqLi6msrCQqKork5GSvaooUHZFWe6JNnNYSlANtXkqbpri4GEAV7nrzermv6sv+3r/m5maKioqoqalRvZP2dw4dDgdbt25lzJgxXlt3T2G1Wtm5cydHH310rz6PEhtQXFyMTqfj+OOP/2eSlssuu4zHHnuMiy66iPXr1++XtJSXl/Pmm28yfPhwhg8fzuDBg/nqq6/YtGkTU6ZM6fYaFEJit9vJzMzkiCOO6LXKSU8hSZJqbR0WFkZaWprPTUNoYbVaycvLo76+nvDwcAwGg0eQo1IFUy5+ZrMZ46xZiOeei7BnD/oVKxCvuALJ3x/9n3/iuvXWvQd3u+VAxJkzEXbuxPDhh7iPPx6sVqT0dNxjx+59bEsLxqeflq3+LRbZdK65Wc0Tkg8n34EVFhYSHBysapt8FdpqRl+KdiVJapeXpJixad9LbStAe3frq0JYLZRzW1dX55NBjVoo57a4uLhDf5oDQdH5aad2LBYLgMf7GRwc7JXWjsViUe/ce0un07b60pFpnRbaapuS1t1RPITdbmf79u29VtXoDlpaWsjKymK01oOql2G1WgkODu6N641vk5avvvqKFStW8Nprr5GWlnZA0tIRvvzyS1auXMkTTzxxwMceqHICkJOTg8ViUasDvja5oUCSJCorK8nPz+/1CZ7OQhv+p9xxK+F/fn5+OBwO7HY7CQkJpKamdnhuhT17MMyeDXo94tln4z7zTJAkmZw89xxomL3+vfeQYmLQr16NOyMD8eqrobGxQ/Gu4YUXEC+9FN1vv6HLz8c1aRJSamqHr0OSJGpqaigoKFD9X3x5g1XcaysqKrya2tx2M9MmFGvN2BRRbGeIvNYUzNcqRR1BCWosLS312aBGLRobG9WsI8VfR3s37HK52rV2nE6nOrWjbdX19o2ZVqfj5+fXK+62XW0dgXwOCwsLaWhoaBcZYLPZyMzM7PWqRlfQ3NxMbm4uo0aN6rPndLvdmEymQ5O0nHnmmZSXl7f7/fTp03n22Wf58ccfCQ0N7TZp+e677/jxxx955pln1N/1tK2jVAeam5tJT0/3Oc8MLRStQ35+PoGBgaSnp/e6UNPtdnv4KbQN/9PenbWd8HA6nRQVFVFRUdHeZVeSMF1xBeJFFyFOnAit74l+4UKkkSNxa+9uMjMx33sv4vnn45o0SQ0/bCveBRC2b8f4+utIERGyQ+6IEZ1+rYpGx+VykZqa6nNBglpo7xZDQ0NJTU3t9GdhfzoF7WZ2IF1YV6AII7XVDF+flFMcbH0xVFILu91Ofn4+FRUVmM1mdTJSceXWtnb6u4IkSZJKthTPEG/nSCnP0xXhrkJYS0pK1Kk4k8lEdnZ2n1Y1DoSmpiby8vJUWUNf4JAmLfvCtm3bGDdunHpRLS4uJiEhgbVr1xIXF9fp43z33Xd8+umnvPjii+3+W0/bOgp5sVgspKen+/RFSqkO5OXl4e/vT3p6eo/vCLVmT0rlRDt+2pacdOXculwuSkpKKC0tVV12/T7/HCkuDvcpp+x9YGUlxnnzcD7yiPz/m5owzJuH/rvvsL/zDmiqJbpVqxDy82XCI78AdD//jGHhQly33Yb7X//q9rmwWCwUFBTQ1NRESkpKj8YmexvKBltQUIDRaCQ1NZWwsDBAJjZtyYnD4fAYQVXutPtqM1PyeMrKylTTQl9ueSpBjY2Njb0S1NgVKOaX2pFipRqmfEfdbjd1dXVqUrYvX8ccDocq3A0NDfWav4oWXa2+KNXBoqIiGhsbEQSB4447rt/JnoLGxkYKCgoOOEDiTfwjSUtbdLfS8u233/Lf//6Xyy67jDvvvFOtinhzQ2lpaSEvL4+WlpaDgrzU1dWRl5eH0WgkPT39gJMQbb0xFHGstg2gEBRvj58q01HlO3cy9MsvMb70kkd/2/jYYzgffBDMZgwLFyKUlSEOHYpgMiFecsneAzmd8mTQCy+AIKBbu1Y2phs3Dvc553jNa8Vut1NYWEh1dbUa0OiLLUSlVVdZWUl5ebnqEms2m9vpTryRHO6tNVdWVlJUVOSzsQZaKPbx5eXl3Qpq7Cq0hFMhKE6n0yOaQBkR7+gzqYhOtR4cvrLxtoVyE1ZUVIQoir1msNfV6ktdXR2ZmZkIgkBISEi7TKT+gOKtMqILFeSe4jBpofukBeQ7tffff5/XX3+dc889l7vuuovw8HCvr/FgIi+ASl50Oh0ZGRkEBwd7aBQUcqJ1ouxq+J+3YHjySUrGjye/uVnV6ASuWoVQXw8OB7qtW3Fddx1SaqpMZFqdb9W/nz0b8ayzZNv/hQtxH3UU4vjxaovJ29BWB7ypI+kqFMKpiCeV9xU8RZQGg4Hy8nIaGhr63Xq/M1AmpBwOBykpKcTExPjsd+1AQY1dRVuhs1Lh1Ov1HmRTIZxdhZLeXFpa2mvVDG9C66fTW87Lna2+KK2YI444Qp00UyID4uLi+qXiVldXR1lZGcOHD++z5zxMWrwEh8PBggULmDNnDhdeeCH/+9//eoUF+zp5aZtmW1dXR11dnWr0FB4e7kFO+nvz0q1ejZCbi3jVVXtbG7t2MXLGDPyGDEF35ZW4W30RDC+9hHjZZR4iWqGgAP38+Qg6HVJyMq5rr4U+IhBKpUgxf+utxGZtG6BtQnFHupN9EU7Fer+8vLxfyVZnYbVaKSwspLa2VhVF+qruBfaKOC0Wi7qR7e/75XA4PEaK26ZOK9qT7rj/Hgjaaobb7VYNxHy17dl2Sqo37OYPNDbdUStGCZEsKysjIiKClJSUPiWBtbW1VFRUMGzYsD57TiVIthc+K/8s0qLAbrczb9483nrrLS699FL++9//9opZlC+Ql442MiUvSatPCAwMxGq1smfPHkRRJD09vVeqUV1Gm7YOgG7NGoxTp9Jw+eVkjhmDvnWCJ6y8HP1PP+G64469f19djenmm3GfdBKu226DfrpjVKa5CgsL8ff3JzU1tdufOSU9vO2Eh7YNoJDO7hJOt9tNWVkZRUVFhISE+Px4t1YDpWwM/T0ttz9oPVSio6OJj49X2zsKSdEa7CnkpL9uIhRRdG1tLXFxcR4TM76IxsZGiouLaWxsVIW73m51dTQ2rTxvR67pylCEtqUVFxfX6ySwpqaG6upqhgwZ0qvPo8Vh0tJLsFqtzJ07lwULFnDFFVdw66239sqFuS/Ii5I0rRXFOp1O9aKnrZwc6Mvb3NxMXl4edrud9PT0fg3HMsyejXj22UiDB8teKwsXIsXHg06H6847gdYJnrw8Ul9+GfcLLxAeE4NgsWCYNw9sNtlYrhttxd6ANtJAEASZbO1jjFObUKwEASrak7ZtgN7SHiiVrcLCQo8IBl+qHGqhbcWYzWZSUlJUkbEvQCteV8hJY2Oj+l2Njo4mKiqK4OBgnyQFygSakh/UkxypvoC21RUSEkJSUpLX16tUOZuamqipqUGSJIYPH77f70hLS4sHae1OZEBnUVVVRV1dHYMHD+6V43eEw6Sll9HS0sIbb7zB+++/z9VXX82kSZN65QPkDfLS9i5bsTzXTncoBKWnG5nFYiEvL2+/rrW9CSEvD/0XXyCOHy870yYn47rmGjkQccYMDzdb/UcfYYmPJzcsjNBly4i12zHeeSekpPTZeruKpqYm1RU4Li4Ok8nUzr9mX2Zs/YHGxkby8/Ox2+0+ryMBmcwWFBT0W/BhR9lJ2taOtl2nrFergfD1CbS6ujo55sLhOOjWm5iY2K14g7YuwMqNhLZyHRERoX5PD2RapxWXC4Kguix78zxWVlbS0NDAoEGDvHbMA+EwaekjNDc3M2vWLD766COuv/56brjhhl4ZrdSSl4yMjA4rGS6Xqx05UdJPtVWT7orturre/Px8mpubSUtL6xuzL0nCeNddSDExEByM66abICgI/aJFSAMHys62CmpqML7+Ou5hw9Bt2YJlwgRyTSYaGxt9avxYO4WlraCIoojb7UYURVVHEhgY6LOEQKsjUQIl+1v3tD9YrVbVij0+Pp7ExESvVqaUeAKt9kSbVKz1POnMeTqYghpB1mwUFxdTVVVFTEwMiYmJPj2SrmhMlHiDpKSkDluJWj2RImSXJKmdj01HNxLdMa3TRgaoNg9eOI/l5eVYLBYGDBjQ42N1FodJSx+joaGB1157jU8++YSbbrqJa6+9tleyZlpaWsjNzaW5uZnIVrMz5YKnmDy1JSf9uZFZrVYKCgpoaGggNTWV2NjYXluP/v330f35J87p0yE6Wv5ldTXGOXNwPv743gdKEqZrr0UKD0e85hpVkAt7x49ramrUzbWvyEtHWqKOzNi0U1hKQGNlZSXx8fEkJSX5tKhUK9pVSty+nMmkda8NDw/vckm+bVKxMrWjrYgpm5k3vqsHU1AjeGbP9JaDrTehtBKLioqQJImQkBAEQVCvwVo9UXBwcLcnJrs6Nq04ARcXF2M0GklOTu5RlbusrAyr1UpGRka3/r47OExa+gl1dXW88sorfPHFF9x6661cddVV3b7jEUWx3ZiizWZDr9djNpux2WyqANZXKgP7gs1mo6CggLq6OlJSUrwvJquvx/jyyzifftrj18bHH8d5333QqlHQrVqF/rPPEP/1L9wXXrhPr5W2LrvenDBpWxFrK6BsO1bcGYiiSElJCSUlJQdFQKMS1llUVHRQZDK1TcRW/F7aOjO3zdpxuVwdtnZ6+7t6sAU1gnzjV1RUREtLC4mJiQeckuorKNWTtkZ7ZrMZp9OJ3W4nPj6+Vwh4dyMDioqKqK+vV29kuroHlZaWqvrEvsJh0tLPqKmp4aWXXlKN6iZOnLjP8rJSKtZuZEr4X0BAgMdG5ufn5/GB7UzbyJfgcDgoKCigpqaG5ORk4uPjvfIhNT7zDM7//tdDPKv74w+EigrE8eMRtm+Xww/HjEH8v//rtNeKdsIkJiaGlJSUTrcJOkooVkinN7wx9vWc2oDGtLS0Xo9g6Am0mUw6nW6/ImNfgeJV1NLSQmBgoGoH0NYBuCukszehneLx9aBGkKudJSUlVFRU9InBngLt91UhKJ2pnrhcLlW4GxgYSHJyslqB8SZ6GhnQFa+f4uJiXC4XaWlpXlv/gXCYtPgIqqqqeP755/n555+57bbbGDZsGNu2baOuro5x48ap4kmFnCgEpaseCi0tLezZswebzdbv0zudgcPhoLCwkKqqKpKSkkhMTOz2h1W3Zg1CTg7iVVft/aXdjvHRR3H9738YFizAnZ4uhx9282Kt9U6JiIggNTVVvavSTndojbuUFoC2ctKWdPYW2tru+3pAI+z1q7BaraSmpva7v4dCRtp6nijfVz8/P7USqmRe+TIZ0La6QkNDSUlJ8enqlrYVYzAYSE5O9tp1bV/VE632RJnG6kqydX19PcXFxVit1l6rFnUnMkARbDc3N6tGkPv7rCrtr5Q+HEpQ/KF64fp4mLR0BjU1Nfz+++/s2LGDHTt2sHPnTsrLy4mNjWXo0KGcd955nH/++QQEBHj1TdJO7xwMlRdtG6ZbFvYdeLIAGKZNQ6irQ0pNlQW5Xqg2KPqE4uJiysrK0Ov16lq7m1DcF6ivryc/Px9RFElLS/P5z4RWBKtcYHu7YqEkFWsJSls9kWJn3/Z9Ve60S0pKCAsLIyUlxeerWwdTUCPIU3NKTk9XgjD3Vz3RkhNvu3Vrq0UREREkJSV5nSAeyLSuIyg5TKWlparmqaObmcLCQnUyqa9wmLT0M7Zt28Znn33GiBEjGDFiBAMHDsRoNFJaWsqzzz7L6tWruffee7nwwgt7pW97sJEXl8ulkoGuCEoVq31JMUFqbMQwbx5CXp6sb4mI6NZ69pVQrJixBQYG4nK5qKioICAggLS0NJ+2LQf5M5Gfn4/FYlHHj32FWHUEbayBt0S7yvipVntis9m84mOjNQLT6/VqqKQvf+98KaixM9B+JhRhtEIGlDgRbfUEaCd47kutl9vtprq6muLiYgCSkpKIiorq1byjzoxNK5qnoqIirFYrSUlJHu99fn4+BoOBpKQkr65zfzhMWnwcRUVFTJ8+nQ0bNvDggw/y73//u1c2EIW8HCxtI1EUKS4u9khq3tfmIeTno1+2DNf994PdjuHddxEqKnDdfDNSQkKnn6+t7kSrT1DKxfsy2NMav+l0OtLT032+DWOz2dTx44MhM0gr2g0KCiI1NfWABFFp7bSdxlKSirXjp71xoVSs91taWkhOTvZ5obx2qqsvdSTdgdvtprm5mbKyMiorKxFFEb1e7/G+9kb1pKewWCwUFxdTW1tLbGwsiYmJvSLc1f7bmeqL4rRcXl6uEsHq6mrMZjMJnbyOegOHSctBgry8PKZPn8727dt56KGHOPvssw+TF2QyoWhIOhTAShLGyZNxPvEE+i++QJeZiev665H2YYbU9g7bYrFgtVrR6XReSyhuaGggPz8fl8ulRhr48jnWblQHIoi+AOXusKCgAEEQSE1NJTw8XCWe2taOElGgJSf9sYnZbDaKioqorq4mLi7O53Uv3g5q7CnaVk+am5vbjYvrdDoqKiqoq6vrFU8db0MZTy4pKenVMe+2wl2l8rK/6oviZN3c3Ex0dDRDhgzpsxuaw6TlIENOTg7Tpk1j9+7dTJ48mTPOOKPXyUtGRobPb6xaAWxkZCSpqalyEuiyZQjZ2Qh1dYgTJuA++mjA0xdDS1AAD7FzbwXGgVxyV1xr+8MVuKvQenuEh4eTmprqk0Zf2qRiJRvF6XTi5+dHWFiYx122r21aCgkvKSk5KESw0PWgxp6grdleU1MTDodDbcdqc5T2dV3UaotCQkJITk72aY8aSZLU8WSLxaLmHXm7Pdedseldu3ZhtVqxWCxERUV5tOF6C4dJy0GKrKwsnnnmGQoLC5kyZQqnnHJKr2x4ByN5KS8vp7CwkPDwcIZPn47zmmuoP+YYD4IiimK/+GJ0BKvVSn5+vs+57O4LSkBjQUFBv+t02rZ2mpub1daO9r0VBEEV7R4Mic3au1mdTqdWi3z5u9c2qDEpKanbpFabuaP1s+nIbK+7rROtXsPlcpGUlOTz+i1FIFteXk5YWBhJSUm98t3r7Nj07t27CQ0NJSoqSo0MAHot2kJZ12HSchAjMzOTp556isrKSqZMmcJJJ530jyUvymSH8lNbW4vVasVoNBIVFUVoaKh6F+aLG1Z/uux2Bx0FNPZWereSUtyR0V7b1s7+7vK1fjrKnaEvVou0aGpqoqCggJaWlj5L7+0JlBuH4uJi/P399zl5on28Uj3RplB3pXrSU7SNN+gNHYk3ofgWaVOde5MkQMfVl+zsbMLDw4lWnMWR9wql1alERXhL96Ssp5d0VIdJS19BkiS2bdvGU089RUNDA1OnTuX4448/ZMnLvszYlHgCRVynTHYoVYGgoCDS09N9VjiooDdddnsL2sBDxTulO58LxctGq03Qaoq0BKUnRnuKuV5RURGBgYGdEu32N+x2O0VFRVRVVR0UuUFa3w+73U5iYiLh4eEeo8UdVU/6M4VaqyPpDOHyBWgJV08rXPvCvoS7WVlZREdHq1ExWijRC0VFRV6JDFCe/zBpOYQgSRKbN2/mySefxG63M3XqVI455pheIy979uzBbrero9LehlaboGhO2uaxdDahWCm35+fnqy0NX9cKaCekuuqy219oaWlRM6QOFMOgzVBSNrC2ScXBwcG9pikCT9EuoFaLfK2KqIVWWxQSEuKT0QZtqyeNjY3q+xscHExcXBxhYWE+N7mjQEu4bDabmjTty9NzoihSWVlJcXExJpOJpKSkXhmkcLvd2Gw2mpqaKCwsZODAgQf071H8c7Qi6O5UshT+0EvV0cOkpb8gSRLr16/nySefBOCRRx5h1KhRPkte9jd22pHupKdMvba2lry8PMxmM+np6T5/h70/l11fhdbJWNmgtG7AWttz7U9/bgrKRdhisRwU48dKi0Ax+EpJSenzab8DaU/ausYebEGN4Jnc3FuVDG+jsbGR4uJi1WQvPj6+Wzc8bclnU1OTKmpX3lulqtqZsWlFBK1tHXblJuEwaTnEIUkSq1at4qmnnsLPz49HHnmEESNG9Ct5Ue6ute2djhKKAwICen0DU8iLwWAgIyPD5y+ebrdbbXWFhISQlpbmU60uZSKrrZ29y+XC5XIREhKitgh8mXRpx48PlvacQriam5tVAzBvEy7F90Q7WqxoT7TkpDOC9oMxqFFpKSqVjP4e8+4MnE6nmncUEhJCUlISISEh+3yslpxoTfeUtt2+2rLdMa1Tgi+bmprU79mBiNVh0vIPgSRJrFy5kqeffprQ0FCmTJnCsGHDep28KHeqWuGkL4bF1dfXk5eXhyAIB4Xpm7bV5e/v3y/TO8oFTlsdU0YRteJJJaZAO9UVGhpKamqqT1vYg6doNzIykpSUFJ+/w9ZO8MTExJCcnNxlfYi28ql1jd1X9aSnONiCGmFvQrKS0RMfH+/TrSOFJBYXF2O324mJicFsNqtVFJvNhtFoVMlJd033tOQFOmdap7gXK5EBycnJ7ZLRtceHw6TlHwNJkvjtt9946qmniI2N5eGHH2aIYmvfTbQ1Y1OEk4Ig4HK5EARBdVP1ZdEgyKZveXl5uN1uMjIyCAsL6+8l7Rd94bLbVvTc1NTUo6RibUCjyWQiLS1tn3d+vgKlwlVYWEhAQACpqak+X5VTBKVFRUWEhISQkpLSIbHVOj33tHrSUxxsQY0gV45LSkooLy8nIiKC5ORknyLjytSdtn3ndDqRJAmXy6VmYPWFad2B0qaV61lhYWGHkQHKY+Awaek1fPLJJzz55JPs3LmTtWvXMmbMGPW/zZgxg3feeQe9Xs/rr7/OOeec02frcrvd/Pzzzzz99NOkpaUxefJkBgwYsN+/0SYUK+xcEcW29cTQztA3NzeTl5eHw+FQHXZ9HU1NTeTl5eF0Og8Kx1roucvuvsz2uiN67iyUgEa3201qaqrPuy8rF9WCggIkSTpo1lxbW6ueZ0UwqX1/taLnnk5leWvNB1tQo5IdVFRUhE6nIzk5uc/XrK2OabVF2qksbVaWQsaLi4vR6/W9tubumNYpQZJlZWUqsQoODj5MWnobO3fuRKfTceutt/Liiy+qpCUzM5OJEyeydu1aSktLOfPMM8nOzu7z8qLb7Wb58uVMmzaNwYMHM3nyZJKTkykuLiYvL4+0tDT14qZMdWg3sK7cfWnJizIq7etQ1my320lLS/P5Cyd4uuzua/R4XyGPWnFdX5rtNTc3U1BQoAY0xsbGHhTnuaCggObmZpKTk33KO6VtXIFyd20wGHC5XIiiSHx8/EExjXawBTWCvOaioiIaGhp6JILdF5SpSq3+RJtIrfx09fpcXFxMfX09cXFxvVYZ7071RSGDTqdTneLqpQrcYdKi4LTTTvMgLTNmzABgypQpAJxzzjk8+eSTjB07tk/XVV9fz44dO9i6dSvffvstf/75J6GhocTExDB27FjuuuuuThl2dQXNzc3s2bMHp9N50JAXJfW4paXloLDbB9m7IS8vj/r6esLDw9Hr9VgslnZJxfsLeexr2Gw2CgoKqKurOygCGsHTO6Wv82wU7YmWnCjVz/1VTxwOB0VFRaruJSkpyaeF0XBwBTUq0IpgQ0NDSU5O7rL2TDHM1Brvud1uNfRR6wrsjWuSMt1TWlpKYGAgycnJhISE+ET1RfGjiYqKIi4uzqvracVh0qKgLWm54447OOGEE7j66qsBmDRpEueddx6XXXZZn63piy++4JVXXmHkyJHqz/Dhw/ntt9947rnnOOaYY3jggQd6Lb3zYCQvChFobm4mNTWVmJgYnyAv+xsZ9/Pzw+l0quZeKSkpPk8EtOZ6B0N4IOzVY5SUlPSKaHdf1RPt1F1X7667k4rd31CCGrWGZb7evtW61yqTUlFRUR7vk5aAKu9xS0sLOp3Og5wEBwf3yfdXkiTq6+spKirCZrORmJjYK5lS+zKtg46rL5IkIQhCb5HsfwZpOfPMMykvL2/3++nTp3PRRRcB7UnL//73P8aOHetBWv79739z6aWX9t3C9wNRFPn00095/vnnGTt2LPfdd19vMduDkrzYbDby8/M9DNT66qLZNqqgqakJl8t1wKTig9FlVxseGBERcVBM72hFu/7+/qSmpnZJaHyg6om3HIHbPqcyfixJ0kGhIYG+DWr0FlpaWigsLKS6ulqdvmppacHhcHhM3ikE1BfeA0VfUlFRQUREBElJSb3SnulM9eUwaekj+Gp76EAQRZHFixfz0ksvceqpp3LPPfcQExPTK891MJIXu91OQUEBtbW1B3R/7Sr2NZWljSpQNq+uVCEORpddLRE4WCz3lTtVrdC4LRE4UPVEeY/7MsjTYrFQUFBAY2OjOr3h60TAm0GN3obWGkD5Vwn0lCSJ5ubm/2/vzqOjKtM0gD+VVEJ2EiB7VaqSEAhJSCoBZtAZbbo1rUQbGqVFmBYUkE4rQh9aIJGjE1A2m1a6wcalRdGegVFaxW4jgjio49hEBsnGkoTUmh2ykUpS650/cu713iyQkFruTd7fORw1C/kgseqp73u/90VoaKhkbtFdvXoVJpMJAKBQKAbsGLnCULsvMpmMQoun9A8tlZWVWLZsGVeIe9ddd6G6ulq0Dw52ux1/+ctfsHfvXuTm5mLdunWDzppwBSmGF6vVCr1ej6tXr0KpVI5o0CHbUbR/T4z+k4pDQ0NdOtlUil12+TdhfH19oVarRX8tHfihoLujo4O7Ku2OeUquZLVaYTKZ0NTUhMjISCiVStH/fIx0UKMr8Rsrsr/YFxn9e5/wH+fZG2lGoxFWq5UrNBVLUfdQzGYzTCYTWltb3TpgcrDdF19fXwot7vLhhx/iqaeeQktLC8LDw6HRaPDZZ58B6Ds+OnjwIORyOfbu3Yv58+d7ebU3Z7PZcOjQIezbtw/z58/HU0895bZQIcXwYrPZYDAY0NzczE1p5j9A9Z9UzL6yZqfZDndSsSsxDIOmpiauy64Umr4BPwxotFqtUKlUoimO5n+P2RDK7p4EBgait7cXZrMZsbGxUCqVktjlYute2F0usfeo6T+o0dVBgO0MzA8odrsdgYGBgoAy0hcZvb29MJlMaGlpQVRUFOLj40WzYzQU/oDJgIAAKJVKl/V8YRgGnZ2dKCsr435duHABCxYswL//+7+7YPUDUGgZq6xWK95880386U9/wsKFC/Hkk0+67RUNP7wkJydL4pW1zWZDbW0tmpubuXEEvb298PHxGdCQTSyvrMXQZfdWsAMaOzs7PXr1eKjak/67J6GhoQOCCVurw+5yJSQkiP4mDL9HjdPpREJCgmiC4o3wRzLcymRsdq4Sv/tz//qiwb7Ho8FORzaZTAgICOB2jMT8d80GDKPRCLPZzF31Hm7dHMMwaGxsxPnz57mAUltbi+DgYGRmZkKj0SAnJwcZGRnuHKBKoWWs6+3txRtvvIHXX38dixcvRn5+vttehYk1vPCHxfXvaRMUFASLxYKOjg6uL4bYi1890WXXHfhXj11daHyj3RP+Exc7smC4GIbhanUCAgJGXLTrLWazGQaDAR0dHZK5ms4Oaqyrq0NISMiAQY38ifJsSOnt7eWGeo6mtf2tYoMA2yHWXTd4XM1qtaK+vh4NDQ2IiIiAw+FAeno6936Hw4GamhqUl5ejtLQUZWVlaGxsRExMDDQaDRdQUlJSPP14SaFlvOjp6cGBAwdw8OBBLF26FGvWrHFb+222W63dbvdoq/2h2p3zJxUPdmbNfm5dXR3q6uoQHR0tiWMBYPRddr3BbrfDZDKhoaEBkZGRSEhIGPYr69HsnowGW7Sr1+vhcDgks4vB750yZcoUKJVK0R9nsDuKbMfrwMBA2O127oUG/3jHVb1PXIF/g2fKlClQKBSi351zOp3Q6/VYuXIlzGYz4uPj0dHRgZ6eHiQnJ0Oj0SA7Oxs5OTluGfB5Cyi0jDdmsxmvvPIK3nnnHTzyyCNYtWqV2+ojrl+/jtraWjgcDpeGF/64AvaJi180yQ8oIz3acTqdqKurg8lkGvETqjcNp8uu2DidTjQ0NMBoNCI8PBwqlUrwIN9/JgvbFXiwmTue/LPyb+8olUqxPJjfEDv92Gg0IigoCAkJCaLYMWKL3Pm1J2wIZRuysS9Ehjtl2Nv4fWrkcjmUSqUoRkmwwbu8vJw74rl06RJ8fHyQlpaGxMREVFVVoaysDA8++CDWrFkDhULh1TUPgkLLeNXV1YU//vGPOHz4MB599FE89thjbnsFNprwwt7a6T+pODAwUFB34uonLv4TKtuITOw3M4C+HTW9Xs/1p5HCLQf2lpTBYIBMJoO/vz9sNpugvqj/TBYx4HetlUqDPf6Okd1uR0JCgscCLtsigF9/YrFYuBB6o+vjUhzUCPQ99hmNRo+POGD/n2KPdkpLS6HT6RAWFoasrCxB/Ym/v7/g+9/b24ujR4/iH//4B/bv3+/2tY4QhZbxrqOjA3v37sXRo0exevVqLF++3G1PzjcKL+ykYv6r6v6TitkHNU+eF7OvUPV6PSIiIqBSqUS/vQ70bVUbDAZcu3aNuyUlhvAy2ERbdqZSSEgIfHx80NraytXqSOG4i99gb7AdI7Fim6i1t7cjLi4OcXFxLntCtdvtA4pjnU4ntxPKP94ZCSkOagT6junY4YIRERFQKpUuC112u53bIWF/tbS0ID4+HllZWdzxTnJysuhrbYaBQgvp09bWhpdeegnHjh1Dfn4+li1b5rZhXOx5tdVqRWBgIGw224BJxezRjlgejNiCTPbVilqtlsQTE7/LbmxsLBQKhUde6fEnUvdveT6c3RP2uKu7u1tU4xhuhGEYtLS0QK/XY8KECVCpVJIokOY/oY607qX/95k93mFnZ/F3UFz9hCnFQY39Qxc7LmA4P9vssXhlZSW3g1JRUYHe3l6kpKQgKysLOTk5yM7O9mgHcA+j0CIGRUVFeOONNxAZGQkA2LFjB/Ly8ryylmvXrmHPnj0oLi7GE088gYcffviWt7z5k4rZMexsrwT2Qay1tRUARHXb6EbYJyadToeQkBCo1WpJ9EzhFxq7usvujXZP+m/7j/SBtKenBwaDAW1tbZLp/gqAO4Kx2Wyi6lFzI/3HG/Rv/MbfDWV/8W9osb/ceN11UPzQJZVBjUBfbZTRaER7ezt8fHygVqu5buZsk0b2aKe0tBRVVVXw8/NDeno6VyCr0WgQGhoq+p8tF6LQIgZFRUUICQnB008/7e2lcJqbm/Hiiy/i1KlTWLt2LX7xi18M+SqGfTDj152wk4r5nURDQkIG/T3cVbDrTuyANa1Wi8DAQCQmJkrijJ1fqzPSLrv8jqL9C6DdXXvC7/4qlfoRQHj1WCqhi98PyGKxICAgAA6HAwC4G1qDTab2tv4FsAkJCZI4XrRarXj33Xfx8ssvIyYmBnK5HO3t7QgPDxcc76SlpYnq79tLKLSIgRhDC6uxsRG7du3C119/jXXr1kGj0eD7779HbW0t7rvvPpjNZgAYcLRzK1cRpRpe2Lb1fn5+SEpKkkTDt5t12R1q94TdJRvN7slo8Ju+uWNSs7vwi3ZvpYGau7BHDvzdk97eXvj5+XFHtOz3n62NEvsRDCDeQY02mw1VVVXc7Z3y8nK0trZCqVQiMzMTcrkc3377LRwOB5544gn8/Oc/l0Q49yAKLWJQVFSEt99+G2FhYZg9ezZ+//vfe70lvtlsRmlpKcrLy1FeXo6zZ8+ipqYGkZGRSE1Nxbx587B06VK3DIqTYngB+uqCtFotfH19kZiYKIorpTdzs5s7tzr00d3YAmmDwcAd00lhp4ttoGYymRAeHo6EhASPHS8OFkQdDocgiA7V2l6qRzDeGtTIMAzMZjMqKiq4x9GKigrYbDZMmzaNu72TnZ096O0trVaLAwcOIDc3F7m5uW5fr4RQaPGUu+++G42NjQPevn37dsydO5c783722WfR0NCAgwcPemGVPzh16hSOHj2KzMxMzJw5ExkZGQgPD4fBYMCOHTtw7tw5PP3008jLy3PbrRR+eElOTpZEUSPQV8+g1WoBAElJSaJZ91BPWvybO9euXYNcLhfVum+EPabT6/WQy+VQq9WSWXdLSwsMBgP8/Pxcvu7+vU/MZrOgtf2tHuOxdS9Go1FSxcbuHNTIfi/Z+pOysjLU1NRgwoQJyMjI4OpPsrKyEBwcLPrjKpGj0CI2Op0O999/PyoqKry9lBvSarV44YUXUFlZic2bNyM3N9ft4cXpdErmyRTo26LWarVwOBzc9V1PuFntyc12T9h1S6nLLiDsDqxSqSRxFRYQFu2OtG8K29qeH1AsFgv8/f0FxbHu2BFtb2/nBh6y6xbDtfobGe2gRqfTCZ1OxxXHlpeXo66uDpMnT+bqT7KzszFjxgxR7UyOIRRaxKChoQGxsbEAgJdffhlnzpzBkSNHvLyq4ampqcHzzz+PmpoaFBQU4Mc//rHbHrg6OztRW1sLhmEkFV7YsQY2mw1qtdql3TEdDocgnHR1dXG7J/1n7oz0a0qxyy7wQ8fa69evS6bBHiDsmzJY0a7dbhdcLWZ7nwQFBQl2Tzzd2p694dXa2urymVLuxB/UGBoaikmTJiEuLo57v9VqxaVLl3D+/HnumLyjowMqlYq7XqzRaKBSqSTx8zVGUGgRg0ceeQTnz5+HTCaDWq3Ga6+9xoUYqbh06RKef/55mEwmFBYW4o477nDbA6dUw4vZbIZWq0VPTw8SExNHtBPA3z1hn7D6756wc5Vc/QpPil12gR8a7F29ehXx8fGIj48XRTHmzVgsFuj1ejQ1NSEwMBByuZybQM4PoqGhoaL689jtdtTV1aG+vl4yk7GBvnWfOHEChYWFiI2NRXh4OBoaGuBwOJCamsrVn2g0Gsns3o1hFFqIa1VWVmLr1q24evUqCgsLcfvtt1N46ae7uxtarRZmsxlqtXrADgb7itoduyej0b/LrhSu7wLCItKoqCgolUpR3NwBhO0C2EBqtVoREBCA4OBg2O127vqrVHoCsVePDQYD/P39oVKpRFNMz96a4x/vXLlyBUFBQcjIyEBwcDDOnj0LX19frF+/HgsWLJDEz/g4QqGFuB7DMCgrK8PWrVtx/fp1FBYW4p//+Z8pvPTT3d2NK1euoKOjA2FhYXA6ndwr6v4Fk2LabvdWl93RutmARndjmy3yd8sYhhH0PhlsyCfbN0Wv18PPz09UIeBmOjo6oNfrYbFYoFQqERUV5bFdOofDgdraWkF7+/r6ekRFRXHFsdnZ2Zg+ffqAn9+amhrs378f2dnZWLFihUfWS4aFQgtxH4Zh8P3336OoqAgWiwVbtmzBrFmzxmV44dcjsLso7O5JYGAguru70dPTA7VajZiYGEkcv7izy6478dvtBwYGQqVSITQ01KW/P/8ojy2EZpst8o/yRvoqnh8CpFRn1NPTA6PRiGvXriE2Ntal05rZSdEXLlzgdk/KysrQ1dWFxMREwfGOQqGQxP9b3vT++++jqKgIFy9eRElJCWbPns29b+fOnXjzzTfh6+uLP/7xj7jnnnsGfH5rayuWLFkCnU4HtVqN9957z5WXECi0EPdjGAbfffcdioqK4OPjg2eeeQZZWVljMrywzbr4AaWnpwe+vr4Dusb2f3XHP35RKpWIjY2VxANs/y67Umn4xjAM2traoNfrAQBqtRrh4eEj+rl0Op0Ddk9sNhsCAwMFAWWw3iejwdYZtbe3Iz4+HnFxcZI4xmCnNdfV1SEiImLEfWrY2z/s9eLy8nJcvHgRAJCWlibYQRnp95L0uXjxInx8fPCrX/0Ke/bs4ULLhQsXsHTpUpSUlKC+vh533303qqqqBvzcbdq0CZMmTUJBQQF27dqFtrY27N6921XLo9BCPIdhGPzv//4vtm7diqCgIDzzzDNIT0+XbHgZavekf9fYkdaeWK1WGAwGtLS0QKFQID4+XhLhha0X4Dd8k0INBtB3w0un06G3t3fIHQx+7xP2+83vfcL+05O7TTabDSaTCY2NjaKr17mR/n1qJk+ePGASOdtbhb29U1paitraWoSEhAiuF2dkZLg8FBJg3rx5gtCyc+dOAEBhYSEA4J577kFRURFuu+02wedNnz4dp0+fRmxsLBoaGjBv3jxcvnzZVcui0EI8j2EYfPXVV9i2bRvCw8PxzDPPIDU11a3h5cqVKwBurdnbaHZPRoNfOyKl2y/82TUBAQFITEyUxGgDoG8HQ6fToa2tDREREZDL5dwsLX9//wE3tcQSJvm7XexYBil0CAb6jrxefPFFfPbZZ5g3bx78/PxQWVmJ5uZmxMTECHZPUlJSJPH/wFjQP7SsXbsWc+fOxS9/+UsAwKpVqzB//nwsXrxY8Hnh4eFob2/n/jsiIgJtbW2uWtagTxLir6gjkiaTyfCjH/0In3/+Of77v/8bGzZsQGxsLAoKCjBt2jSXf72wsDBkZ2cLwktycvKgbfaHs3sSGxvrkZs77CyjhIQEGI1GlJSUSKLwVSaTITIyElOmTEF7ezuqqqrg4+ODxMREUdUZAcIuwfybWoGBgTCbzejp6UFMTAwyMjJEXa/j4+PDHRNdvXoVly5dgq+vL1e0K5ZdCLbep7KyUjAmpLu7G6mpqbh48SJ0Oh3+7d/+DRs2bMCkSZO8veQx6UYd2hcuXDjo5wy2mSGWnyvxPhqSMUUmk+EnP/kJ5s2bh5MnT+LJJ59EYmIiNm/ejOTkZJd/PTa8dHR0oKamBk6nE1OmTOEatPX29nK7J2w4EcPNHblcjsTERCQkJMBkMuG7775DTEwMlEql19d2IzKZDBEREYiIiBB02XV1g73hslgsguLY7u5uwU2twb7fbLHx2bNnMWXKFCQkJAx7KrY3sIExMjISnZ2d0Ov1qKmpQUJCAqKiojz6d87WDPHb21++fBm+vr5IS0tDdnY2li1bhuzsbISFhXFr6+rqwqFDh3D33Xfjk08+kVzPKin4/PPPR/w5CoUCRqOR+2+TySRoxseKjo7mGqaybQbcjY6HxoHjx49j/fr1cDgcWL16NQoKCry9JDidTnz66afYvn07pk+fjk2bNkGlUo369x2qk6hcLofFYoGvry+SkpIkcxODP+lYSrd2gL4GezqdDt3d3W67/eJ0OrnW9uz33WKxYMKECYLak5G0tucPaAwNDZXU8Qu/Yy07qdnVRyxOpxN1dXXc9OKysjLo9XpMnDgRWVlZ3A2e9PT0YYc+p9MpmuM3b1qyZAlXE8L27Dl//vyAj1Or1VzDQblcjrNnz47q6/Y/HqqsrMSyZcu4Qty77roL1dXVA36WNm7ciMmTJ3OFuK2trXjxxRdHtRYeqmkZjxwOB6ZNm4aTJ09CoVBgzpw5OHz4MNLS0ry9NAB9D1Z/+9vfsGPHDsycORObNm2CQqG46eextSf9Z+7I5fIBM3f4r6Y7OjpQW1sLmUyGpKQkSUxnBn6Y0Gw0GjFlyhSoVCpJFGECruuya7fbB4wxcDqdCA4OFtSfuGp3RKoDGgFh0W5kZCSUSuUt/b3Y7XZUVVVxuydlZWW4du0a4uPjodFouICSnJxMocPFfvvb32LixIl47rnnBrxPrVZzO4Kj8eGHH+Kpp55CS0sLwsPDodFo8NlnnwHoOz46ePAg5HI59u7di/nz5wMAVq9ejfz8fMyePRvXrl3DQw89BIPBgISEBLz//vuuPOaj0DIeffvttygqKuJ+EPtXhYuF0+nEBx98gF27dmH27NnYuHEjt1Xc2toKh8MhGAzodDoFtScjvWoq5fDS2NgIg8GASZMmQaVSifoIg2+4XXbZWgj+jhm/GJrfiM9ThZr8AY3eOvK6FezPi9FovOGuETuMsaKiggsnFRUVsFgsSElJ4Ypjs7OzER0dLYk/u5QxDIOEhAR88cUXSElJGfB+V4UWkaPQMh4dPXoUx48fx5///GcAwLvvvoszZ85g//79Xl7ZQE6nE1VVVXjttddw5MgRREZGwmw2Izg4GDt37kRKSgp3k8NV9R1SDS8Mw3DhZeLEiVCr1ZLolwIIb0rFxMQgIiJCML3YZrNxYwzYX54eYzAU9sjLbDZztSNS2GFgd42OHTuG//qv/8KaNWsQHh7OXS+urq6Gv78/MjIyuCvGGo0GISEhovh7H2+++uorbNiwYchjH/5E9l/96ldYs2aNh1foEXR7aDwScxU46/Lly3jsscfQ09OD5ORkZGZm4pVXXoFOp8M777yDH//4x8jIyEBkZKTLv/bEiRO5gt0rV65IJrzIZDLExsYiJiYGzc3NKCsrQ0hICBITE0U7uM5mswkKY2UyGUwmE3Q6HcLCwqBQKJCYmCjqY6/g4GCkp6ejt7cXBoMBOp1O1A3fnE4n9Hq9oEDWbrfjhRdeQFdXF37+859j8+bNyMzMlEytlNQN5zbP4cOHsXTp0iF/j2+++QZxcXFobm5Gbm4uUlNTceedd7ptzWJCOy1jnBSOh6xWK6xW66D9PWw2G/7yl79g7969+OlPf4p169Zh8uTJblsLf+clOTnZpS3f3Yntl6LVahEcHIzExESvNXvj1xvxe934+fkNaG3v4+Mj2S67gLB2JDo6Gkql0mtP/larFZcvXxbUn7S3tyMhIUHQ/0StVsPHxwdGoxF/+MMf8Pnnn+PAgQMDGocR77Db7YiPj8f//d//Dau+r6ioCCEhIXj66ac9sDqPouOh8chut2PatGk4deoU4uPjMWfOHPznf/4n0tPTvb20EbHZbHj77bexb98+3HfffVi7dq0rZ1wMIOXwcu3aNWi1Wo80e+P3PmH/2b/XzXDrjaTcZdfhcKChoQEmkwkRERFQqVRuC14Mw6Crq4ubu1NWVobKyko4HA5Mnz4dWVlZyMnJQXZ2NqZMmXLTv/eOjg4wDCOZwYzuVFRUhDfeeIPb1d2xYwfy8vIGfJw7b2QeP34cO3fuxJdffjno+81mM5xOJ0JDQ2E2m5Gbm4vnnnsO9957r8vWIBIUWsar4uJi/OY3v4HD4cDKlSuxZcsWby/pllksFrz55ps4cOAAFi1ahF//+tduvdEh5fDS1tYGrVYLPz8/JCYmjnrt/Nb2169fh9lsho+Pj2BycUhIyKh3GqTcZZdhGDQ3N0Ov1yMoKAhqtXpUa2d/P/Z4p7S0FFeuXEFgYCBmzpzJBZSZM2ciODhYdEe/UjOcXQt338h89NFHMXfuXOTn53Nvq6+vx+rVq1FcXIza2losWrQIQN+L0mXLlkn6Mf0GKLSQsaO3txevv/463njjDSxevBj5+fluDRRsePHx8UFSUpJkwgvQ1++Bv/ab1euwN0n4AcViscDf319wvDOS3ie3ig1eYu2yOxQ2NOp0OshkMqjV6pvuDDqdTtTW1qK8vJybwVNXV4fIyEiuODYnJwepqamibjQoZcMJLVI4ch8jKLSQsaenpwd/+tOf8NZbb2HZsmV4/PHH3doIjA0AbJM6KYWXjo4OaLVaMAyDxMREhIeHD9mMLygoSLB7MmHCBK++ihdDl91bxQ5o/PLLLxEREYElS5bA4XDg4sWLggnG169fh1qtFhzvKJVKSdxOGiuKiorw9ttvIywsDLNnz8bvf//7AWFTSjcyJY5CCxm7zGYz9u/fj3fffRfLly/HqlWr3HqLRmrhhWEYrrX9tWvX0NzcDLvdjoCAAERERAjqT8R4C4bliS67rsQwDDo7O1FeXo6vv/4aX3zxBaqrqxEUFITbbrsNOTk5yMnJgUajkVQQk7Ib3d6ZO3cuVwf07LPPoqGhAQcPHhR83Pvvv4/PPvtMEFpKSkqwb98+j6x/HKHQQsa+zs5O7Nu3D0eOHMGjjz6Kxx57zK03UcQYXvit7dlfVqsVAQEBgnDidDqh0+lgsViQmJgoqSdNV3XZdSW2dw5be1JWVoba2loEBwcjMzOT6x4bHR2NP//5z/j444+xYsUK5OfnS6bgeDzR6XS4//77UVFRIXg7HQ95DIUWMn60t7dj7969+Otf/4rHH38cjzzyiFs7x3orvNhstgHHOwzDCIpjQ0NDb9j7hL97oVarh3XjRCz4XXY92S/F4XDgypUrXDgpLy9HQ0MDYmJiBPUnKSkpQ9afdHV14eDBg1i1apVkZhu528aNG/G3v/0N/v7+SE5OxltvvTXorSZXz95hscP/AODll1/GmTNncOTIEcHHjJUbmRJAoYWMP62trXjppZfw8ccfIz8/H8uWLXNr8zJ3hRe2tT1/94SdtdS/98mtPmn39PRAq9Wiq6sLKpXK45OCR4PfLyU2NhYKhcIlxarssdqFCxcEAcVsNiM5OVlQfxIXF+f13R6pO3HiBH7yk59ALpdj8+bNAIDdu3cP+Dh3tbF/5JFHcP78ea54+rXXXkNsbKzg9g4wtm5kihiFFjJ+Xb16FXv27MHx48fxxBNPYMmSJW5tAjaa8OJ0OgfsnthsNgQGBgoCykhmLY1Eb28vdDodOjo6oFKpJDVrxuFwoK6uDnV1dYiKioJSqRx2SGUYBu3t7dztnbKyMly6dAk+Pj6YMWMGt3uSlZWF8PBwyfydSNWHH36Io0eP4j/+4z8GvG+czN4Z7yi0ENLc3Izdu3fjiy++wFNPPYXFixe79frozcILv/dJV1cXurq6IJPJBJOqQ0NDvdJl1WKxQKfToa2tDQkJCYiJiZHMTgK/y+7EiRO5fi/938+Gk7KyMmi1WoSFhSEzM5MLKBkZGfD396eA4gU/+9nPsGTJEvzyl78c8L5xMntnvKPQQgiroaEBu3btwtdff43f/OY3WLRokVtrIdra2lBTU8N1srRYLOjt7YW/v7+gOJZtbS8mVqsVer2em84spWMQhmHw/fffY/Xq1YiPj4dSqYTBYEBLSwvi4uIE7e2nTp0q6ptTY8VwZu9s374dZ8+exQcffDBoYKyvrxfM3tm3b9+4mb0zjlBoId7hrqI5V6irq8P27dtRUlKC3/72t/jZz3426idkfmt7dgeFbW3v5+eHzs5OTJgwAVOnThXFbaPhstlsMBgMaG5u5sKLmJ7k2ZlHlZWVXO+T8vJy9Pb2Ijk5GeHh4fjuu++QnJyMrVu3IjMz09tLJoM4dOgQXn31VZw6dWpYt6rG8Oyd8Y5CC/EOKZw/GwwGbN++Hd9//z02btyI+fPnDyu8sL1P+NOLfXx8BLsnISEhA46g2traUFtbCz8/PyQlJUmmTT3QF16MRiOampoQFxcHhULh8fDCMAxaW1sF04urqqogl8uRlpbG7Z5kZWUhLCxM8Gr966+/xs6dO7Fq1So8+OCDHl03ubHjx49jw4YN+PLLL4ec6j6OZu+MdxRaiHdIIbSwamtr8cILL+DChQvYvHkzcnNz4ePjA6vViqamJsjlcm4XxWKxYMKECYLak5G2tpdyeLHb7TCZTNw1UVfd2OnP6XTCaDQKphfr9XpERERw14uzs7ORnp4+opthDMNQrQpuPvyPYRisX78excXFCAoKwttvv42cnBy3rGXq1KmwWCzcJPe5c+fi1VdfHa+zd8Y7Ci3EO6RWNNfZ2YlPPvkEL7/8Mq5evQo/Pz8wDIO8vDw8/vjj3A6KK/u+SDm88G/sREdHQ6lU3nLhsM1mQ1VVFTd7p6ysDK2trVAoFIL6k6SkJMnU1YjZcIb/FRcXY9++fSguLsaZM2ewfv16nDlzxourJuPEoKGFpm4Rt/vmm28ERXOpqamiLJr79a9/jW+//RahoaHIzMzE448/jrCwMHz00Ueor6/HvffeC7Va7ZZX5xEREZg1axba2tpw+fJlSYUXX19fJCQkID4+HvX19Th79iwiIyOhUqmGDC/sUMby8nKu/qSiogI2mw0pKSnIzs5GXl4etmzZIql+MVJTUlKCqVOnIikpCQDw8MMP49ixY4LQcuzYMSxfvhwymQxz585Fe3u7oAkbIZ5EoYW4XVxcHAAgKioKixYtQklJiShDy3PPPTdoO/iHHnoIlZWV2Lp1K1588UUUFhbi9ttvp/DSj6+vL5RKJeLj49HQ0IB3330X586dQ0FBASZMmCBob19dXY0JEyZg5syZ0Gg0WLlyJbKyshASEkIBxYPq6uqgVCq5/1YoFAN2UQb7mLq6OgotxCsotBC36l80d+LECTz33HPeXtaghnoQlslkyMjIwHvvvYfS0lJs3boVv/vd71BYWIh/+qd/ovDCw84zKi0thV6vh8lkwh133AE/Pz/Mnz8f//Iv/4KFCxdixowZXuk9Q4QGKw/o//M8nI8hxFMotBC3ampqGlA0J9Uqf5lMBo1Ggw8++ADnzp1DUVERbDYbtmzZgpycnHEXXqxWKy5dusTVn5SXl6O9vR0qlQoajQa33XYbnnjiCSgUCnz44YfYs2cP/P39cd9991FgEQmFQgGj0cj9t8lk4nZGR/IxhHgKFeIScosYhkFJSQmKiorg6+uLLVu2IDMz062vQltbW6HVaj0aXhiGQVdXF3e9uLy8HBcuXIDD4UBqaqqgQHby5MlD/vmdTic+/vhj/Ou//qskbpK5k9FoxPLly9HY2AgfHx+sWbMG69evF3zM6dOnsXDhQq6T7wMPPODyXcrhDP/75JNPsH//fq4Qd926dSgpKXHpOggZBN0eIsQdGIbBN998g61btyIkJASFhYVIT0+XZHhhGAZNTU2C68U1NTUICgpCZmYmNyBw5syZCAoKomOCW9TQ0ICGhgbk5OTg+vXrmDVrFj766CNBAezp06exZ88e/P3vf3frWgYb/vfqq68CAPLz88EwDNauXYvjx48jKCgIb731FmbPnu3WNRECCi2EuBfDMPjyyy+xbds2TJo0CYWFhZgxY4ZbvyYbXvz9/ZGYmDii8OJwOFBbW8uFk7KyMtTX1yMqKgoajQYajQY5OTmYPn26W+czEWDhwoVYu3YtcnNzubd5KrQQIlIUWgjxBIZh8MUXX2Dbtm2Ii4tDQUEBUlJS3Po1+eElLCwMKpVKsB6r1YoLFy4IAsr169eRlJQkON5RKBTU/8TDdDod7rzzTlRUVCAsLIx7++nTp/Hggw9yIxP27NkjOLYhZIyj0EKIJzmdTpw4cQLPP/88kpKSsGnTJiQnJ7v1a7a0tGDJkiUICAjAnDlz0NDQgIsXLwIA0tLSuOMdjUbDNfwj3tPV1YUf/ehH2LJlCx544AHB+zo7O7mREMXFxVi/fj2qq6u9tFJCPI5CCyHe4HQ6UVxcjO3btyM1NRWbNm0S7ISM5vdtbGzk6k9KS0uh1WoREhIClUqFc+fOQa1WY9euXcjKyqKAIjI2mw33338/7rnnHmzYsOGmHy+lcRiEuACFFkK8ib09s3PnTmRmZmLjxo1QKBTD+lyHw4Hq6mrB8U5TUxNiY2MF9ScpKSmC4YWnT5/Gtm3b8OCDD+LJJ5901x+NjBDDMFixYgUmTZqEvXv3DvoxjY2NiI6OhkwmQ0lJCRYvXgy9Xk/hk4wXFFoIEQOn04m//vWv2L17N+bMmYOnn36aa2zHMAx6e3tRWVnJhZPy8nJ0d3dj6tSp3PFOTk4OYmNjh/UExv6egYGB7v6jSYZarUZoaCh8fX0hl8tx9uxZwfvdPSTwf/7nf3DHHXdg5syZXA3Rjh07YDAYAPTd2tm/fz8OHDgAuVyOwMBAvPTSS7j99ttdtgZCRI5CCyFi4nA48N577+F3v/sdIiIiMHnyZNTU1MDX1xdpaWlcgaxGo8HEiRPpFbYL3eyohYYEEuJ1NDCRjC8rV67E3//+d0RFRaGiogJA3y2bJUuWQKfTQa1W47333kNERIRX1ufr64ulS5fiF7/4BXbu3Im8vDxkZGS4dHo0uTU0JJAQcaK7jWTMevTRR3H8+HHB23bt2oW77roL1dXVuOuuu7Br1y4vre4Hcrkczz77LGbNmkWBxUNkMhl++tOfYtasWXj99dcHvH+oIYGEEO+i0ELGrDvvvBOTJk0SvO3YsWNYsWIFAGDFihX46KOPvLAy4m3ffPMNzp07h08//RSvvPIKvvrqK8H7aUggIeJEoYWMK+yNG6BvqnNzc7OXV0S8gR34FxUVhUWLFg2YpUNDAgkRJwothBC3u3z5Mnc1W6PRICwsbMBV39OnT2PixIncx2zbts0tazGbzbh+/Tr37ydOnEBGRobgYxYsWIB33nkHDMPgH//4ByZOnEj1LISIABXiknElOjqaK6hsaGhAVFSUt5c0LkyfPh3nz58H0HdrKj4+HosWLRrwcXfccYfbZ+00NTVxX9tut2PZsmW49957BUMC8/LyUFxcjKlTp3JDAgkh3kehhYwrCxYswKFDh1BQUIBDhw5h4cKF3l7SuHPq1CkkJye7pCvwrUhKSkJpaemAt+fn53P/LpPJ8Morr3hyWYSQYaDjITJmLV26FLfddhsuX74MhUKBN998EwUFBTh58iRSUlJw8uRJFBQUeHuZ486RI0ewdOnSQd/37bffIisrC/Pnz0dlZaWHV0YIETtqLkcI8Rir1Yq4uDhUVlYiOjpa8D4aEEgI4Rn0uh7ttBBCPObTTz9FTk7OgMACAGFhYQgJCQEA5OXlwWaz4erVq55eIiFExCi0EEI85vDhw0MeDTU2NnL9UUpKSuB0OjF58mRPLo8QInIUWggZY1auXImoqCjBNd7W1lbk5uYiJSUFubm5aGtrG/Rzjx8/junTp2Pq1Kku7xbc3d2NkydP4oEHHuDe9uqrr3K3do4ePYqMjAxkZWVh3bp1OHLkCDV0I4QIUE0LIWPMV199hZCQECxfvpybubRp0yZMmjQJBQUF2LVrF9ra2rB7927B5zkcDkybNg0nT56EQqHAnDlzcPjwYaSlpXnjj0EIGd+opoWQ8eBWxxeUlJRg6tSpSEpKgr+/Px5++GEcO3bME0smhJBhodBCyDgwnPEFNCSQECJ2FFoIIQBoSCAhRPwotBAyDrDjCwAMOb6AhgQSQsSOQgsh4wA7vgDAkOML5syZg+rqami1WlitVhw5cgQLFizw9FIJIWRIFFoIGWNGMr6gvr4eeXl5AAC5XI79+/fjnnvuwYwZM/DQQw8hPT3dm38UQggRoCvPhBBCCBEbuvJMCCGEEOmi0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJoNBCCCGEEEmg0EIIIYQQSaDQQgghhBBJkN/k/TKPrIIQQggh5CZop4UQQgghkkChhRBCCCGSQKGFEEIIIZJAoYUQQgghkkChhRBCCCGSQKGFEEIIIZLw/+iaw1UyJRErAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize = (10,10))\n",
    "ax = fig.add_subplot(projection='3d')\n",
    "\n",
    "s = np.linspace(-2, 2, 20)\n",
    "t = np.linspace(-2, 2, 20)\n",
    "S, T = np.meshgrid(s, t)\n",
    "\n",
    "X = 3*S - T\n",
    "Y = 2*S + 4*T\n",
    "Z = -S + T\n",
    "ax.plot_wireframe(X, Y, Z, linewidth = .5, color = 'r')\n",
    "\n",
    "s = np.linspace(-10, 10, 20)\n",
    "t = np.linspace(-10, 10, 20)\n",
    "S, T = np.meshgrid(s, t)\n",
    "X = S\n",
    "Y = T\n",
    "Z = np.zeros(S.shape)\n",
    "ax.plot_wireframe(X, Y, Z, linewidth = .5, color = 'k')\n",
    "ax.view_init(elev=14, azim=58)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <font face=\"gotham\" color=\"purple\"> Method for Finding Basis of $\\mathbb{R}^n$</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Consider matrix $A_{4\\times 2}$, find a basis for $\\mathbb{R}^4$.\n",
    "\n",
    "Note that we only have two column vectors, not possible to span $\\mathbb{R}^4$. The common method is to use another two standard basis vectors joined with $A$ to form the basis of $\\mathbb{R}^4$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}45 & 33\\\\79 & 19\\\\45 & 75\\\\3 & 27\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡45  33⎤\n",
       "⎢      ⎥\n",
       "⎢79  19⎥\n",
       "⎢      ⎥\n",
       "⎢45  75⎥\n",
       "⎢      ⎥\n",
       "⎣3   27⎦"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = sy.randMatrix(4, 2);A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & 0 & 0 & 0\\\\0 & 1 & 0 & 0\\\\0 & 0 & 1 & 0\\\\0 & 0 & 0 & 1\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  0  0  0⎤\n",
       "⎢          ⎥\n",
       "⎢0  1  0  0⎥\n",
       "⎢          ⎥\n",
       "⎢0  0  1  0⎥\n",
       "⎢          ⎥\n",
       "⎣0  0  0  1⎦"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "I = sy.eye(4);I"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Concatenate the matrix horizontally."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}45 & 33 & 1 & 0 & 0 & 0\\\\79 & 19 & 0 & 1 & 0 & 0\\\\45 & 75 & 0 & 0 & 1 & 0\\\\3 & 27 & 0 & 0 & 0 & 1\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡45  33  1  0  0  0⎤\n",
       "⎢                  ⎥\n",
       "⎢79  19  0  1  0  0⎥\n",
       "⎢                  ⎥\n",
       "⎢45  75  0  0  1  0⎥\n",
       "⎢                  ⎥\n",
       "⎣3   27  0  0  0  1⎦"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Aug = A.row_join(I);Aug# concatenate "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left( \\left[\\begin{matrix}1 & 0 & 0 & 0 & \\frac{3}{110} & - \\frac{5}{66}\\\\0 & 1 & 0 & 0 & - \\frac{1}{330} & \\frac{1}{22}\\\\0 & 0 & 1 & 0 & - \\frac{62}{55} & \\frac{21}{11}\\\\0 & 0 & 0 & 1 & - \\frac{346}{165} & \\frac{169}{33}\\end{matrix}\\right], \\  \\left( 0, \\  1, \\  2, \\  3\\right)\\right)$"
      ],
      "text/plain": [
       "⎛⎡1  0  0  0  3/110   -5/66⎤              ⎞\n",
       "⎜⎢                         ⎥              ⎟\n",
       "⎜⎢0  1  0  0  -1/330  1/22 ⎥              ⎟\n",
       "⎜⎢                         ⎥              ⎟\n",
       "⎜⎢             -62     21  ⎥              ⎟\n",
       "⎜⎢0  0  1  0   ────    ──  ⎥, (0, 1, 2, 3)⎟\n",
       "⎜⎢              55     11  ⎥              ⎟\n",
       "⎜⎢                         ⎥              ⎟\n",
       "⎜⎢            -346     169 ⎥              ⎟\n",
       "⎜⎢0  0  0  1  ─────    ─── ⎥              ⎟\n",
       "⎝⎣             165      33 ⎦              ⎠"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Aug.rref()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Therefore the first 4 columns of augmented matrix is a basis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}45 & 33 & 1 & 0\\\\79 & 19 & 0 & 1\\\\45 & 75 & 0 & 0\\\\3 & 27 & 0 & 0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡45  33  1  0⎤\n",
       "⎢            ⎥\n",
       "⎢79  19  0  1⎥\n",
       "⎢            ⎥\n",
       "⎢45  75  0  0⎥\n",
       "⎢            ⎥\n",
       "⎣3   27  0  0⎦"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Aug[:,0:4]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <font face=\"gotham\" color=\"purple\"> Change of Basis</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Change of basis is for changing the coordinate system,e.g. from Cartesian to other system."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <font face=\"gotham\" color=\"purple\"> Coordinate Vector</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have a basis $B=\\{b_1, b_2\\}$, and $B$'s **coordinate vector** is denoted as $\\big[v\\big]_B$. If\n",
    "\n",
    "$$\n",
    "b_1 = \\left[\\begin{matrix}1\\\\1 \\end{matrix}\\right]\\\\\n",
    "b_2 = \\left[\\begin{matrix}-2\\\\1 \\end{matrix}\\right]\\\\\n",
    "\\big[v\\big]_B = \\left[\\begin{matrix}2\\\\3 \\end{matrix}\\right]\n",
    "$$\n",
    "\n",
    "Then compute $v$ by using the basis and its coordinate vectors. We want to convert the $\\big[v\\big]_B$ into a pair of Cartesian coordinates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & -2\\\\1 & 1\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  -2⎤\n",
       "⎢     ⎥\n",
       "⎣1  1 ⎦"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "P = sy.Matrix([[1,-2],[1,1]]); P"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}2\\\\3\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡2⎤\n",
       "⎢ ⎥\n",
       "⎣3⎦"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v_B = sy.Matrix([[2], [3]]); v_B"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}-4\\\\5\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡-4⎤\n",
       "⎢  ⎥\n",
       "⎣5 ⎦"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "P*v_B"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we have successfully converted  $\\big[v\\big]_B$  into Cartesian"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On the other way around, what if we know $v$ i.e. the Cartesian coordinates, and we want to find out $\\big[v\\big]_B$, for instance \n",
    "\n",
    "$$\n",
    "v = \\left[\\begin{matrix}-1\\\\-4 \\end{matrix}\\right]\n",
    "$$\n",
    "\n",
    "Then we can formulate the question as:\n",
    "\n",
    "$$\n",
    "\\left[\\begin{matrix}1 & -2\\\\1 & 1\\end{matrix}\\right]\n",
    "\\left[\\begin{matrix}b_1\\\\b_2 \\end{matrix}\\right]=\n",
    "\\left[\\begin{matrix}-1\\\\-4 \\end{matrix}\\right]\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Just solve the linear system"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left( \\left[\\begin{matrix}1 & 0 & -3\\\\0 & 1 & -1\\end{matrix}\\right], \\  \\left( 0, \\  1\\right)\\right)$"
      ],
      "text/plain": [
       "⎛⎡1  0  -3⎤        ⎞\n",
       "⎜⎢        ⎥, (0, 1)⎟\n",
       "⎝⎣0  1  -1⎦        ⎠"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Aug = sy.Matrix([[1,-2,-1],[1,1,-4]])\n",
    "Aug.rref()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We get $\\big[v\\big]_B = (-3, -1)^T$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <font face=\"gotham\" color=\"purple\"> Change of Basis</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Most probably we would like to change coordinates from  $\\big[v\\big]_B$ to  $\\big[v\\big]_C$, which both aren't Cartesian coordinates."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Say we have two bases $B=\\{b_1,\\ b_2\\}$, $C=\\{c_1,\\ c_2\\}$ in $\\mathbb{R}^2$.\n",
    "\n",
    "$$\n",
    "b_1=\n",
    "\\left[\\begin{matrix}2\\\\1 \\end{matrix}\\right],\\quad\n",
    "b_2 = \n",
    "\\left[\\begin{matrix}-1\\\\1 \\end{matrix}\\right]\\\\\n",
    "c_1=\n",
    "\\left[\\begin{matrix}1\\\\1 \\end{matrix}\\right],\\quad\n",
    "c_2 = \n",
    "\\left[\\begin{matrix}-3\\\\1 \\end{matrix}\\right]\\\\\n",
    "$$\n",
    "\n",
    "We would like to change $\\big[v\\big]_B$ to $\\big[v\\big]_C$. Formally this is reformulated as finding **transition matrix** $P_{C\\leftarrow B}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we find coordinate vectors for $b_1$ and $b_2$ in $C: b_1 = xc_1+yc_2$, $b_2 = xc_1+yc_2$.\n",
    "\n",
    "$$\n",
    "\\left[\\begin{matrix}2\\\\1 \\end{matrix}\\right] = x\\left[\\begin{matrix}1\\\\1 \\end{matrix}\\right]+y\\left[\\begin{matrix}-3\\\\1 \\end{matrix}\\right]= \\left[\\begin{matrix}1 & -3\\\\1 &1 \\end{matrix}\\right]\\left[\\begin{matrix}x \\\\y \\end{matrix}\\right]\\\\\n",
    "\\left[\\begin{matrix}-1\\\\1 \\end{matrix}\\right] = x\\left[\\begin{matrix}1\\\\1 \\end{matrix}\\right]+y\\left[\\begin{matrix}-3\\\\1 \\end{matrix}\\right]=\\left[\\begin{matrix}1 & -3\\\\1 &1 \\end{matrix}\\right]\\left[\\begin{matrix}x \\\\y \\end{matrix}\\right]\\\\\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Extract augmented matrix for both system:\n",
    "\n",
    "$$\n",
    "\\left[\\begin{matrix}1 & -3 & 2\\\\1 &1 &1 \\end{matrix}\\right]\\\\\n",
    "\\left[\\begin{matrix}1 & -3 & -1\\\\1 &1 &1 \\end{matrix}\\right]\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "They can be combined into one augmented matrix $[C|B]$\n",
    "\n",
    "$$\n",
    "\\left[\\begin{matrix}1 & -3  & 2 & -1\\\\1 &1 &1 &1 \\end{matrix}\\right]\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left( \\left[\\begin{matrix}1 & 0 & \\frac{5}{4} & \\frac{1}{2}\\\\0 & 1 & - \\frac{1}{4} & \\frac{1}{2}\\end{matrix}\\right], \\  \\left( 0, \\  1\\right)\\right)$"
      ],
      "text/plain": [
       "⎛⎡1  0  5/4   1/2⎤        ⎞\n",
       "⎜⎢               ⎥, (0, 1)⎟\n",
       "⎝⎣0  1  -1/4  1/2⎦        ⎠"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Aug = sy.Matrix([[1,-3,2,-1],[1, 1, 1, 1]])\n",
    "Aug.rref()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The last two columns of rref augmented matrix is the $P_{C\\leftarrow B}$.\n",
    "\n",
    "In general, we can find transition matrix by using\n",
    "\n",
    "$$[\\ C\\ |\\ B\\ ]\\longrightarrow [\\ I\\ |\\ P_{C\\leftarrow B}\\ ]$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <font face=\"gotham\" color=\"purple\"> An Example</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let \n",
    "\n",
    "$$\n",
    "B=\\left\\{\\left[\\begin{array}{l}\n",
    "1 \\\\\n",
    "1 \\\\\n",
    "0\n",
    "\\end{array}\\right],\\left[\\begin{array}{l}\n",
    "0 \\\\\n",
    "1 \\\\\n",
    "1\n",
    "\\end{array}\\right],\\left[\\begin{array}{l}\n",
    "0 \\\\\n",
    "1 \\\\\n",
    "0\n",
    "\\end{array}\\right]\\right\\} \\quad \\text { and } \\quad C=\\left\\{\\left[\\begin{array}{l}\n",
    "1 \\\\\n",
    "1 \\\\\n",
    "2\n",
    "\\end{array}\\right],\\left[\\begin{array}{l}\n",
    "2 \\\\\n",
    "1 \\\\\n",
    "1\n",
    "\\end{array}\\right],\\left[\\begin{array}{l}\n",
    "1 \\\\\n",
    "0 \\\\\n",
    "1\n",
    "\\end{array}\\right]\\right\\}\n",
    "$$\n",
    "\n",
    "be two bases for $\\mathbb{R}^3$, find the $P_{C\\leftarrow B}$ and given $\\big[v\\big]_B = (1,-1,2)$, find $\\big[v\\big]_C$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Construct augmented matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & 2 & 1 & 1 & 0 & 0\\\\1 & 1 & 0 & 1 & 1 & 1\\\\2 & 1 & 1 & 0 & 1 & 0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  2  1  1  0  0⎤\n",
       "⎢                ⎥\n",
       "⎢1  1  0  1  1  1⎥\n",
       "⎢                ⎥\n",
       "⎣2  1  1  0  1  0⎦"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v_B =  sy.Matrix([1, -1, 2])\n",
    "B = sy.Matrix([[1, 0, 0], [1, 1 ,1], [0, 1, 0]])\n",
    "C = sy.Matrix([[1, 2, 1], [1, 1 ,0], [2, 1, 1]])\n",
    "Aug = C.row_join(B); Aug# concatenate "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The RHS block of rref is $P_{C\\leftarrow B}$ as we have shown above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left( \\left[\\begin{matrix}1 & 0 & 0 & 0 & 1 & \\frac{1}{2}\\\\0 & 1 & 0 & 1 & 0 & \\frac{1}{2}\\\\0 & 0 & 1 & -1 & -1 & - \\frac{3}{2}\\end{matrix}\\right], \\  \\left( 0, \\  1, \\  2\\right)\\right)$"
      ],
      "text/plain": [
       "⎛⎡1  0  0  0   1   1/2 ⎤           ⎞\n",
       "⎜⎢                     ⎥           ⎟\n",
       "⎜⎢0  1  0  1   0   1/2 ⎥, (0, 1, 2)⎟\n",
       "⎜⎢                     ⎥           ⎟\n",
       "⎝⎣0  0  1  -1  -1  -3/2⎦           ⎠"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Aug_rref = Aug.rref();Aug_rref"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}0\\\\2\\\\-3\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡0 ⎤\n",
       "⎢  ⎥\n",
       "⎢2 ⎥\n",
       "⎢  ⎥\n",
       "⎣-3⎦"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v_C = Aug_rref[0][:,3:6]*v_B; v_C"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The $\\big[v\\big]_C$ is $(0, 2, -3)$."
   ]
  }
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